Mathematics

Algebra covers chapters such as Matrices, Probability, Determinants, Relation and Function and, Linear Programming

Algebra

Trigonometry contains chapter Inverse Trigonometric Functions

Trigonometry

Differential Calculus covers chapters such as Application of Derivatives and Continuity and Differentiability

Differential Calculus

Integral Calculus covers chapters such as Integration, Differential Equations and, Area Under Plane Curves

Integral Calculus

Vectors and 3D Geometry covers chapters such as Vectors and Three Dimensional Geometry

Vectors and 3D Geometry

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS

Elements of Mathematics Class 12

MATHEMATICS PART II Textbook for Class XII

MATHEMATICS PART I Textbook for Class XII

Volume of a Prism Using Scalar Triple Product

Solving System of Linear Equations using Matrices

The Shortest Distance Between Two Skew Lines

Linear Programming: Manufacturing Problem

Derivative of Functions in Parametric Form

Formation of Differential Equations

Finding Inverse by Elementary Transformations

Elementary Operations or Transformations of a Matrix

Properties of Binary Operations

Equivalence Relations and Equivalence Classes

Linear Programming: Diet Problem

Linear Programming Problem: Graphical Method

Linear Programming Transportation Problem

Formulation of a Linear Programming Problem

Binary Operations and Operation Tables

Linear Programming Resource Allocation Problem

Value of Determinant (Cofactor Expansion)

Minor and Cofactor of Elements of a Determinant

Properties of Determinants (Part 3)

Properties of Determinants (Part 2)

Properties of Determinants (Part 1)

Illustration on Properties of Determinant

Properties of Determinant (Part 4)

Special Types of Matrices

Properties of ITF: Illustration-3

Properties of ITF: Illustration-2

Properties of ITF: Illustration-1

Properties of Inverse Trigonometric Functions

Principal Value of ITF: Illustrations 2

The Inverse of Cot Function

Reflection of a Graph of tanx on the Line y=x

Graph of cos⁻¹ x

Graph of sin⁻¹ x

The Inverse of Sine Function

Inverse Function: Theorem

Inverse Function

One-one and Onto of Composition of Functions

Composite Functions: Illustration

Composition of Functions: Theorem

Composition of Functions

Types of Functions

Graphs of Linear Real-Valued Functions

Illustration on Binomial Distribution

Binomial Distribution Problem

Example on Binomial Distribution

Bernoulli Trials and Binomial Distribution

Probability Distribution: Illustration

Probability Distribution: Example

Illustration on Probability Distribution

Results Related to Mathematical Expectation

Mean, Variance and S.D. of Random Variable

Probability Distribution of a Random Variable

Random Variable and Probability Distribution

Introduction to Random Variable

Bayes' Theorem

The Law of Total Probability

Illustration on Pairwise Independent Events

Independency of More Than Two Events

Illustration on Conditional Probability

Problem on Conditional Probability

Angle Between a Line and a Plane

Angle Between Two Planes: Illustration

Angle Between Two Planes

Line and a Plane

Equation of Plane Making Intercepts on Axes

Equation of a Plane: Illustration

Cartesian Equation of the Plane

Plane and Its Equation

Equation of a Line in Vector Form

Cross Product

Scalar Product of Vectors: Illustration

Scalar Product

Vector Joining Two Points

Examples on Addition of Vectors

Addition of Vectors

Unit Vector in the Direction of a Given Vector

Unit Vector and Linear Combination of Vectors

Direction Cosine

Definition of Vector and its Magnitude

Linear Differential Equation: Illustration

Homogeneous Differential Equations

Solutions of a Differential Equation: Illustration

Solutions of a Differential Equation

Order and the Degree of Differential Equations

Area Enclosed by a Curve and a Line: Illustration

Area Under Curve: Illustration

Standard Form of Indefinite Integral - 3

Standard Form of Indefinite Integral - 2

Standard Form of Indefinite Integral

Integration by Parts: Illustration

Integration by Parts

Method of Partial Fractions

Proper and Improper Rational Functions

Indefinite Integral Illustration

Integration of Trigonometric Form

Integrals of Different Forms

Standard Indefinite Integrals

Indefinite Integrals: Illustration

Properties of Indefinite Integrals

Concept of Integration

This chapter covers topics, such as, Direction Cosines and Direction Ratios of a Line, Interaction between Line and Plane, Line and a Point & Angle Bisectors of Plane etc.

Three Dimensional Geometry

This chapter covers topics, such as, Scalar and Vector Product of Two Vectors, Addition of Vectors, Basics of Vectors & Triple Products etc.

Vectors

This chapter covers topics, such as, Solution of a Differential Equation, Basics of Differential Equation, Formation of Differential Equation, Variable Separable Form, Homogeneous Differential Equation & Linear Differential Equation etc.

Differential Equations

This chapter covers topics, such as, Area under Simple Curves & Area Bounded between Two Curves etc.

Area Under Plane Curves

This chapter covers topics, such as, Integration by Partial Fractions, Integration by Parts, Integration using Trigonometric Identities & Reduction Formulae etc.

Integration

This chapter covers topics, such as, Maxima and Minima, Increasing and Decreasing Functions, Rate of Change of Quantities, Errors and Approximation, Tangent and Normal & Indeterminate Forms etc.

Application of Derivatives

This chapter covers topics, such as, Mean Value Theorem, Methods of Differentiation & Continuity of a Function etc.

Continuity and Differentiability

This chapter covers topics, such as, Conditional Probability and Multiplication Theorem, Bernoulli Trials and Binomial Distribution, Total Probability and Bayes' Theorem & Random Variables and its Probability Distribution etc.

Probability

This chapter covers topics, such as, Determinant of a Square Matrix, Adjoint and Inverse of a Matrix, System of Linear Equations, Properties of Determinants & Special Types of Determinants etc.

Determinants

This chapter covers topics, such as, Symmetric and Skew-symmetric Matrices, Inverse of a Matrix, Elementary Operations in Matrix, Operations on Matrices, Types of Matrices, Basics of Matrices & Special Types of Matrices etc.

Matrices

This chapter covers topics, such as, Different Types of Linear Programming Problems, Formulation of Linear Programming Problems & Solution of Linear Programming Problems etc.

Linear Programming

This chapter covers topics, such as, Basics of Inverse Trigonometric Functions, Properties of Inverse Trigonometric Functions & Identities of Inverse Trigonometric Functions etc.

Inverse Trigonometric Functions

This chapter covers topics, such as, Types of Relations, Types of Functions, Binary Operations, Composition of Functions & Inverse of a Function etc.

Relation and Function

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