SESSION 2025:
Live Online Classes for SAT, IBA, ECAT, MDCAT, XI, and XII Are Now In Progress.
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A nunc tincidunt magna dignissim libero. Adipiscing vitae hac egestas amet ultricies ultricies faucibus mattis. Diam tellus in sapien ante.

interactive classes

recorded lectures

study material

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Providing Testprep Courses of All Medical, Engineering,
and Business Universities Across Pakistan!

Introduction to Probability

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Definition & Basic Terminology

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Cases of Coins

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Addition Law of Probability

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Complementary Events

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Multiplication Law of Probablity

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Dependent & Independent Variable

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Average Rate of Change

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Derivative of Function

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Instantaneous Rate of Change

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Implicit Function

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Parametric Function

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Chain Rule

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Theorem on Differentiation

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Logarithmic Function

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Exponential Function

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Inverse Trigonometric Function

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Trigonometric Function

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Hyperbolic Function Part 1

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Hyperbolic Function Part 2

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Inverse Hyperbolic Function

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Successive Differentiation

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Maclaurin Series

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Taylor Expansion

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Geometrical Interpretation of Derivative

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Increasing & Decreasing Function

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Extreme Values , Relative Maximum and Minimum, Critical Points

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Maxima and Minima

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Differential of Variable

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Distinguish Between dy and sigma y

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What is Integration?

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Standard Formula of Antiderivative

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Theorem on Antiderivative

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Substitution Method

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Integration by Parts

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Partial Fraction

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Definite Integral

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Differential Equation

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Area under the Curve

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Initial Condition

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Introduction To Vector & Scalar

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Geometrical Interpretation of Vector

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Types of Vector

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Addition, Subtraction of Vector and Laws of Addition of Vector

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Magnitude of Vector

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Vector Geometry, Ratio Formula

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Vector in Space

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Properties of Vector

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Distance in Space

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Direction Cosine & Ratio

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Scalar Product

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Projection of Vector

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Cross Product

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Scalar Triple Product

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Work Done

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Moment of Force

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Linear Inequalities

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Graph of linear Inequality

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Terms of Linear Programming

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Linear Programming

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Trigonometry & Angle Measurement

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Relation Between Arc Length, Central Angle and Radius

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Conversion of Angle

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Standard, Coterminal Quadrantal Angle

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Graph of Sinx

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Graph of Cosx

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Graph of Tanx

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Graph of Cotx, Cosec, Secx

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Graph & General Solution of Trigonometric Equation

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Concept of Function

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Domain of Function

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Range of Function

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Types of Function Part 1

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Types of Function Part 2

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Concept of Limit or Limit of a Function

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Theorem on Limit

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Limit of Important Function

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Limit at Infinity

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Sandwich Theorem

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Inverse Function

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Composite Function

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Continuity & Discontinuity of Function

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Graphs

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Rational and Irrational Numbers

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Real Numbers

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Properties of Real Number

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Properties of Inequality of Real Number

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Complex Number

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Ordered Pair

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Conjugate of Complex No

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Equality of Complex No

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Modulus of Complex Number

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Operation on Complex Number

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Argument of Complex Number

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De Moivre's Theorem

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Quadratic Equation

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Nature of Root

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Nature of Root W.R.T Graph

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Fourth Root of Unity

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Cube Root of Unity

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Relation Between Roots

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Polynomial Function

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Factor and Reminder Theorem

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System of Equation Two Variables

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Mathematical Induction

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Binomial Theorem for Positive Index

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Indicated Term

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Middle Term

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Required Power of Variable is Given

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Independent of X

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Binomial Theorem When n is Negative

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First Negative Term

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Sequence + Arithmetic Sequence

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Arithmetic Mean

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Arithmetic Series

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Geometric Progression

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Geometric Sum

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Geometric Mean

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Infinite G.P

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Harmonic Progression

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Harmonic Mean

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Intro to Matrix

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Order of Matrix

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Transpose of Matrix

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Addition & Subtraction of Matrix

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Multiplication of Matrix

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Types of Matrix

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Determinant

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Singular & Non Singular Matrix

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Properties of Determinant

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Minor & Cofactor

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Adjoint of a Matrix

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Inverse of Matrix

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Symmetric & Skew Symmetric Matrix

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Special Type of Matrix

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Elementary Row & Column Operation

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Echelon & Reduced Echelon Form

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Rank of Matrix

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System of Linear Equation

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Hermitian & Skew Hermitian Matrix

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Distance Formula

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Fundamental & Its Deduction

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Double Angle Identites

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Half Angle Identites

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Triple Angle Identities

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Trigonometric Identities

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Sum to Product Identities

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Allied Angles

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Solution of Right Triangle

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Application of Right Triangle

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Law of Sine

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Law of Cosine

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Law of Tangent

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Half Angle Formula in Terms of Side

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Area of Triangle

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Circle Connected with Triangle

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Inverse Function

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Graph of Inverse Sin, Cos

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Graph of Inverse Tan

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Graph of Inverse Cot

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Graph of Inverse Sec, Cosec

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Introduction to Sets

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Types of Sets

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Operation on Sets

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Venn Diagram

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Operation on Three Sets

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Logics

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Binary Operation, Groups

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Combination

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Permutation

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Word Arrangement

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Principle of Counting

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Arrangement of Digits

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Coordinate System

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Distance Formula

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Midpoint

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Ratio Theorem

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Translation of Axes

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Rotation of Axes

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Slope of Lines

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Position of Point w.r.t to Line

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Point to Line Distance

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Distance Between Parallel Lines

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Area of Triangle

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Two or Three Straight Lines

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Concurrent Lines

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Forms of Lines

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Homogeneous Equation of Second Degree

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Equation of Line in Matrix Form

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Forms of Lines

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Angle between lines

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Centroid

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Introduction to Conics

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Standard Form of Circle

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General Form of Circle

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Parametric Form of Circle

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Equation of Circle by Given Condition

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Tangent & Normal

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Length of Tangent

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Theorem on Circle

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Properties of Circle

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Formation of Parabola

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Standard Form of Parabola, Elements of Parabola

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General Form of Parabola

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Ellipse

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General Form of Ellipse

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Standard Form of Ellipse

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Standard Form of Hyperbola

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General Form of Hyperbola

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Equation of Tangent and Normal and Condition of Tangency of Parabola

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Equation of Tangent of Ellipse and Tangency Condition & Hyperbola

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Intersection of Conics

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General Equation of Second Degree

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Intersection of Circle

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Force and Motion Introduction

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Distance and Motion

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Speed, Velocity and Acceleration

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Equation of Motion

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Newton's Laws

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Momentum and Impulse Part 01

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Law of Conservation of Linear Momentum Part 02

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Elastic and Inelastic Collisions Part 01

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Elastic and Inelastic Collisions Part 02

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Elastic and Inelastic Collisions Part 03

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Projectile Motion Introduction

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Analysis Projectile Motion Part 1

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Analysis Projectile Motion Part 2

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Analysis Projectile Motion Part 3

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Rotation and Circular Motion Introduction

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Uniform Circular Motion Part 1

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Uniform Circular Motion Part 2

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Centripetal Force and Centripetal Acceleration

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Torque and Moment of Inertia

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Angular Momentum and Torque

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The Real and Apparent Weight

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Weightlessness

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Vectors & it's Representation

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Vectors & it's Types

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Vectors Addition by Triangle Law

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Vectors Addition by Parallelogram Law

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Resolution of Vectors

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Scalar Product Introduction

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Scalar Product Properties

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Scalar Product Application

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Vectors Product Introduction

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Vectors Product Application

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Vectors Product Properties

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Introduction to Gravitation Part 1

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Introduction to Gravitation Part 2

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Gravitational Force and Gravitational Field

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Gravitational Acceleration

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Gravitational Acceleration on other Planets

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Work

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Various Forces

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Power

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Energy

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Conservation of Energy & Work Energy Theorem in Resistive Medium

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Absolute Potential Energy & Escape Velocity

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Renewable Resources & Non Renewable Resources

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Oscillation Introduction

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Hook's Law

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Simple Harmonic Motion

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Circular Motion and S.H.M

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Simple Pendulum

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Energy Conservation in S.H.M

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Free and Forced Oscillation, Resonance & Damped Oscillations

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Waves & it's Types

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Speed of Sound & Laplace's Correction

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Superposition of Waves

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Reflection of Waves and Phase Change

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Stationary Waves

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Resonance of Air Column and Organ Pipes

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Doppler's Effect

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Nature of Light

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Young's Double Slit Experiment

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Interference in Thin Film

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Newton's Rings

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Michelson's Interferometer

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Diffraction of Light

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Polarization of Light

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Introduction of Physical Instruments

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Simple Microscope

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Compound Microscope

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Telescope

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Fibre Optics

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Coulomb’s Law

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Electric Field and its Intensity

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Electric Flux

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Gauss’s Law and it’s Application

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Electric Potential

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Capacitor

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Series and Parallel Combination of Capacitor

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Energy Stored in the Capacitor

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Charging and Discharging of a Capacitor

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Alternating Current

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A.C through a Resistor

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A.C through a Capacitor

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A.C through an Inductor

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RC and RL Series Circuits

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Series Resonance and Parallel Resonance Circuits

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Three Phase A.C Supply and Principle of Metal Detector

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Electromagnetic Waves

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Modulation

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Relative Motion, Frame of Reference

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Results of Special Theory of Relativity

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Black Body Radiation

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Photoelectric Effect

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Compton's Effect

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Pair Production and Annihilation of Matter

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Wave Particle Duality

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Heisenberg's Uncertainty Principle

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Introduction to Spectra

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Bohr’s Model of the Hydrogen Atom

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Radius of the nth Orbit of Hydrogen Atom

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Energy of the nth Orbit of Hydrogen Atom

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Hydrogen Emission Spectrum

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X rays

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Laser

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Fluid Dynamics Introduction

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Equation of Continuity & Volume Flow Rate

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Bernoulli's Principle & it's Applications

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Introduction to Solids

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Mechanical Properties of Solids

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Elastic Limit and Yield Strength

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Strain Energy in Deformed Materials

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Electrical Properties

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Super Conductors

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Magnetic Properties

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Temperature Scale

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Mode of Heat Transfer

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Specific Heat

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Kinetic Molecular Theory

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Gas Laws & General Gas Equation

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Thermodynamics Introduction

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Laws of Thermodynamics

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Applications of First Law of Thermodynamics

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Molar Specific Heat of a Gas

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Second Law of Thermodynamics & Entropy

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Carnot Heat Engine & Refrigerator

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Electric Current

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Source of Current and Effects of Current

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Ohm's Law

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Dependence of Resistance on Dimension and Resistivity

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Combination of Resistors

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Dependence of Resistance on Temperature

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Electrical Power and Power Dissipation in Resistors

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Electromotive Force

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Kirchhoff’s Rules

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Colour Code for Carbon Resistors

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Thermistor

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Introduction of Magnetic Field

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Magnetic Force on a Current Carrying Wire in an External Field

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Magnetic Flux and Magnetic Flux Density

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Ampere’s Law and Determination of Flux Density

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Force on a Charge Particle

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Motion of Charged Particle in Electric and Magnetic Field

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Determination of Charge to Mass Ratio of an Electron

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Torque on a Current Carrying Coil

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Cathode Ray Oscilloscope

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Physics Quantity & its Units

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Significant Figures

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Errors and Accuracy

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Dimensions

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Atomic Nucleus

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Isotopes and Mass Spectograph

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Mass, Defect and Binding Energy

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Radioactivity

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Half life Part 1

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Activity Part 2

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Interaction of Radiation with Matter

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Radiation Detectors Part 1

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Radiation Detectors Part 2

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Radiation Detectors Part 3

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Fission and Fusion Reaction Part 1

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Fission and Fusion Reaction Part 2

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Radiation Exposure and Biological Effects

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Biological and Medical Uses of Radiation

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Basic Forces of Nature and Building Block of Matter

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Faraday’s Law and Induced E.M.F

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Lenz’s Law and Direction of Induced E.M.F

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Self Induction

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Mutual Induction

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Motional E.M.F

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Energy Stored in an Inductor

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Alternating Current Generator

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D.C. Generator

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D.C Motor

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Transformer

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Galvanometer

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Ammeter

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Voltmeter

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Wheatstone Bridge

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PN Junction

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Rectification

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Special Purpose Diodes

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Introduction to Transistors

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Operational Amplifiers

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Logic Gates and its Application

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Vocabulary Learning Strategies

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Vocabulary Retaining Strategies

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Vocabulary in Context

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Nouns and Pronouns

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Subject

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Subject Drill

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Verb

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Verb Drill

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Modifier

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Modifier Drill

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Articles

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Preposition

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Central Idea

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Except Questions

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Tone Questions

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Line Reference

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Tone Words

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Introduction

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Single Blank sentences

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SC Double Blank

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Analogies

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Subject Verb Agreement (Introduction)

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Subject Verb Agreement 1

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Subject Verb Agreement 2

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Subject Verb Agreement 3

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Subject Verb Agreement 4A

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Subject Verb Agreement 4B

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Subject Verb Agreement 5

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Subject Verb Agreement 6

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Subject Verb Agreement 7

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Subject Verb Agreement 8

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Subject Verb Agreement 9

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Pronoun (Introduction)

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Pronoun Types

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Use of Subject Pronoun

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Use of Object Pronoun

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Ambiguous Reference

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One and you

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Use of Possessives

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Pronouns in Comparison

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Adjective and Adverbs

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Relative Pronoun

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Parallelism

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Parallel Markers

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Types of Sentences

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Semi colon

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Comma

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Colon

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Count Noun and non Count Nouns + Conditionals

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Logical Comparison

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Comparative and Superlative

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Any Other

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Introduction to Algebraic Terminologies

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Equations vs Expressions - Conversion

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Equations vs Expressions - Substitution

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Equations vs Expressions - Conditional

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Subject of the Formula

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Simultaneous Equations

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Introduction to Algebraic Identities

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Expansion using identities

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Factorization using identities

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Factorization Using Middle Term Breaking

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More on Simultaneous Equations

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Basic Fractions

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Remaining Fractions - Tree Diagrams

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Translation with Fractions

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Basic Percentages

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Remaining Percentages

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Percentage Change

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Adjusted Percentages

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Interests

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Basic Ratios

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Direct Ratios

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Inverse Ratios

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Ratios in Slots

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Miscellaneous Ratios

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Algebraic Ratios

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Partnership

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Use of Formula

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Two Moving Automobiles

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Effective Rates

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Age Problems

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Basic Translation

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Mean, Median, Modes and Ranges

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New Mean

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Grouped Data

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Mean = Median in AP

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Standard Deviation

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Interpretational Questions

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Introduction to AP

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Introduction to GP

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Jumps within AP

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Jumps within GP

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Translation in APGP

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Algebraic APGP

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Divisibility Trick-I

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Divisibility Trick-II

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Divisibility Trick-III

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Digit problems

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Venn Diagrams

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Primes and Composites

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Symbolic problems

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Discriminant

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Roots

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Equation from Roots

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Complex Numbers

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Complex Numbers in Quotient Form

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Introduction to Radicals

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Rules of Indices

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Radicals under 4 operations

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Rationalization

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Introduction to Modulus

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Quadratic Inequality

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Rational Inequlaity

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Modulus through Trial & Error

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Inequalities to Modulus

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Basic & Dual Inequality

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Lines and Angles

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Triangles and their Properties

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Area of Polygons Using Coordinates

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Questions on Area and Perimeter of Polygons

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Comprehensive Questions on Circles

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Comprehensive Questions on Solids

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Similar Figures Geometry

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Polygons

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Solids

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Circles

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Equation of Oblique Lines

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Equation of Vertical and Horizontal Lines

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Distance Formula

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Mid-points and Perpendicular Bisectors

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Interpretation of Slopes

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Sketching with Slopes and Intercepts

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Solution-1

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Solution-2

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Solution-3

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Equation of Circle

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Basic Algebraic Functions

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Composite Functions

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Functions from Tables and Graphs

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Parabola (General Form)

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Parabola (Vertex Form)

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Parabola (X - Intercept Form)

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Reflection & Translation

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Domain and Range

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Insert the Missing Character

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Introduction

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Arithmetic

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Powers and Roots

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Alphabets

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Jumping

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Introduction

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Coding

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Decoding

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Number Coding

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Introduction

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NSWE

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Left Right

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Odd one Out

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Atom and Particle

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Ions

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Atomicity

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Atomic Mass and Molar Mass

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Isotopes

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Mole and Number

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Avogadro's Number

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Molar Volume and Molecules

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Percentage of Element

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Formula Unit

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Empirical and Molecular Formula

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Stoichiometry Part-1

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Stoichiometry Part-2

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Stoichiometry Part-3

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Stoichiometry Part-4

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Stoichiometry Part-5

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Limiting Reactant

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Percentage Yield

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Ideal and Non-Ideal Gas

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Boyle's Law

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Charles's Law Part 1

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Charles's Law Part 2

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Avogadro's Law

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General Gas Equation Part-1

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General Gas Equation Part-2

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Graham's Law of Diffusion

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Dalton's Law of Partial Pressure

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Quantum Number Part 1

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Quantum Number Part 2

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Electronic Configuration Part-1

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Electronic Configuration Part-2

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Electron, Proton and Neutron

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Bohr's Atomic Model

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Discharge Tube Experiment

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Plank's Quantum Theory Part 1

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Plank's Quantum Theory Part 2

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Spectrum Part-1

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Spectrum Part-2

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Radioactivity Part-1

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Radioactivity Part-2

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Rutherford's Model of Atom

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X-ray

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Introduction and Cause of Chemical Bond

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Ionic Bond Part-1

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Ionic Bond Part-2

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VSEPRT Part-1

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VSEPRT Part-2

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Covalent Bond Part-1

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Covalent Bond Part-2

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Bond Energy and Bond Length Part-1

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Bond Energy and Bond Length Part-2

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Octet Rule Part-1

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Octet Rule Part-2

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Polar and Non-Polar Covalent Bond Part-1

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Polar and Non-Polar Covalent Bond Part-2

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Hybridization Part 1

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Hybridization Part 2

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Sigma and Pi-bond Part 1

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Sigma and Pi-bond Part 2

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Dipole Moment Part-1

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Dipole Moment Part-2

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Co-ordinate Covalent Bond Part 1

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Co-ordinate Covalent Bond Part 2

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Valence Bond Theory

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Bond Order and MOT Part-1

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Bond Order and MOT Part-2

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Thermochemical Reaction Part 1

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Thermochemical Reaction Part 2

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Spontaneous and Non-Spontaneous Reaction Part 1

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Spontaneous and Non-Spontaneous Reaction Part 2

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