SESSION 2025:
Live Online Classes for SAT, IBA, ECAT, MDCAT, XI, and XII Are Now In Progress.
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  7. NTS IE (P.E) Recorded Course
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  7. NTS IE (P.E) Recorded Course

What’s included in Recorded Classes?

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

free practice zone

Classes Content

Introduction to Probability

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, Conterminal 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

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