SESSION 2025:
Live Online Classes for SAT, IBA, ECAT, MDCAT, XI, and XII Are Now In Progress.
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  7. ETEA-KPK (B.E) Recorded Course
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  7. ETEA-KPK (B.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 Probability

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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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Inverse Function

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Sandwich Theorem

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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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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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Standard Form of Parabola, Elements of Parabola

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Force and Motion

Distance and Motion

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Speed, Vel. and Acc

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Equation of Motion

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Newton's Laws

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Momentum and Impulse

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Law of Cons of Momentum 2

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Elastic and Inelastic Collisions 1

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Elastic and Inelastic Collisions 2

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Elastic and Inelastic Collisions 3

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Intro to Gravitation 1

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Introduction to Gravitation 2

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Gravitational Force & Field

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Gravitational Acceleration

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Grav. Acc. 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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Work Energy Theorem

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A. P. E & Escape Velocity

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Renewable & Non Renewable

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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 & it’s App

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Electric Potential

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Capacitor

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Series & Parallel Comb

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Energy Stored in the Capacitor

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Charging and Discharging

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Introduction to Spectra

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Bohr's Model of Hydrogen Atom

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Radius of Hydrogen Atom

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Energy of Hydrogen Atom

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Hydrogen Emission Spectrum

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X rays

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Fluid Dynamics Introduction

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Eq. of Continuity & Flow Rate

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Bernoulli's Applications

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Electric Current

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Sources & Effects of Current

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Ohm's Law

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Resistance and Resistivity

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Combination of Resistors

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Dep of Resistance on Temp.

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Power & Power Diss. in Resistors

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Electromotive Force

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Introduction of Magnetic Field

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M. Force on a Current Wire

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Mag. Flux and Flux Density

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Ampere’s Law

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Force on a Charge Particle

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Motion of q in E & B Fields

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Quantities & Units

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Significant Figures

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Errors and Accuracy

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Dimensions

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Vectors Representation

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Vectors & it's Types

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Triangle Law

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Parallelogram Law

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Resolution of Vectors

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Scalar Product

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Scalar Product Prop.

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Scalar Product App

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Vectors Product

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Vectors Product App

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Vectors Product Prop

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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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Resonance & Damp.Osc.

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Waves & it's Types

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Speed of Sound & Correction

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Superposition of Waves

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Reflection & Phase Change

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Stationary Waves

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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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Black Body Radiation

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Photoelectric Effect

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Compton's Effect

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Pair Production & Annihilation

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Uncertainty Principle

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Atomic Nucleus

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Isotopes & Mass Spectograph

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Mass Defect & Binding Energy

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Radioactivity

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Half life Part 1

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Biological Uses of Radiation

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Rotation and Circular Motion

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Uniform Circular Motion 1

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Uniform Circular Motion 2

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Centripetal F & Acc

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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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Intro. 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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Faraday’s Law and Induced E.M.F

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Lenz’s Law

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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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Transformer

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PN Junction

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Rectification

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Thermodynamics Intro

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Laws of Thermodynamics

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App. of 1st Law of Thermo

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