mathematics

This subject covers units such as trigonometry, algebra, coordinate geometry, differential calculus, integral calculus, statistics and probability and, vectors and 3d geometry

Algebra covers chapters such as Sets, Matrices, Permutation and Combination, Binomial Theorem, Determinants, Sequences and Series, Relations and Functions, Complex Numbers and Quadratic Equations and, Exponential and Logarithmic Series

Algebra

Trigonometry covers chapters such as Inverse Trigonometric Functions and Trigonometric Functions

Trigonometry

Coordinate Geometry covers chapters such as Circles, Straight Lines and, Conic Sections

Coordinate Geometry

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

Differential Calculus

Integral Calculus covers chapters such as Definite Integrals and Indefinite Integrals

Integral Calculus

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

Vectors and 3D Geometry

Statistics and Probability covers chapters such as Probability and Statistics

Statistics and Probability

Achieve Indian Navy Agniveer Mathematics Practice Book

MATHEMATICS PART II Textbook for Class XII

MATHEMATICS PART I Textbook for Class XII

Mathematics Textbook for Class 11

Tangents to a Circle From an External Point

Condition for Tangency to a Circle

Family of Straight Lines: Example

Pair of Lines Parallel to the Pair of Lines

Solving System of Linear Equations using Matrices

General Term in a Multinomial Expansion

Distance Between Two Parallel Lines in 3D

Distance of a Point From a Plane

Applications of Section Formula

Section Formula in Three-Dimensional Space

Number of Distinct Terms in a Multinomial Expansion

Deriving the Multinomial Theorem

The Shortest Distance Between Two Skew Lines

Variance and Standard Deviation for Ungrouped Distribution

Derivative of Functions in Parametric Form

Derivatives of Exponential and Logarithmic Functions

Finding Inverse by Elementary Transformations

Elementary Operations or Transformations of a Matrix

Properties of Binary Operations

Mean Deviation About Mean and Median for Ungrouped Data

Discrete Frequency Stats: Mean, Variance, SD

Mean Deviation, Its Merits, and Demerits

Quartile Deviation

Relations

Coefficient of Variation

Measures of Dispersion

Mean Deviation of Ungrouped Data

Variance - Properties, Merits and Demerits

Standard Deviation - Properties, Merits and Demerits

Variance and SD for Grouped Frequency Distribution

Binary Operations and Operation Tables

Intervals and Subsets of Real Numbers

Variance and SD of Continuous Distribution

Mean Deviation of Grouped Data

Value of Determinant (Cofactor Expansion)

Minor and Cofactor of Elements of a Determinant

Exponents & Logarithms

Examples on Logarithms

Working Rules for Logarithms

The Mantissa of Log

Logarithm: Characteristic and Mantissa

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

Definition and Equation of a Circle

Angle Between Two Lines

Conditions for Two Lines to Be Parallel

Roots of Quadratic Equation: Illustration

Convert Degree Into Radian & Radian Into Degree

Relation Between Radian and Degree

Systems for Measurement of Angles

Modulus Function

The Reciprocal Function

Graphs of Linear Real-Valued Functions

Real-Valued Functions

Range of a Function: Illustration

Domain, Co-Domain and Range of a Function

Concept of a Function

Properties of Cartesian Product : Example

Example on Cartesian Product of Sets

Cartesian Product of Sets: Example

Cartesian Product of Two Sets: Illustration

Cartesian Product of Sets

Equality of Ordered Pairs

Ordered Pairs

Verification: n(A∪B)=n(A)+n(B)-n(A∩B)

Complement of Set

Symmetric Difference of Sets

Difference of Sets

Distributive Law of Sets

Examples of De Morgan’s Law and Distributive Law

The Intersection in Set Operations

The Union in Set Operations

Venn Diagrams

Subsets and Equal Sets

Universal Set and Subsets

Power Set of a Set

Equivalent Sets

Finite and Infinite Sets

Empty Set

This chapter covers topics, such as Trigonometric Equations, Introduction to Trigonometric Functions, Trigonometric Functions of Sum and Difference of Two Angles & Angles etc.

Trigonometric Functions

This chapter covers topics, such as The Modulus and the Conjugate of a Complex Number, Argand Plane and Polar Representation, Algebra of Complex Numbers, Complex Numbers & Quadratic Equations etc.

Complex Numbers and Quadratic Equations

This chapter covers topics, such as Distance Formula in 3D, Equation of a Line in Space, Section Formula in 3D & Coplanarity of Two Lines etc.

Three Dimensional Geometry

This chapter covers topics, such as Ellipse, Parabola, Sections of a Cone & Hyperbola etc.

Conic Sections

This chapter covers topics, such as Limits of Polynomials and Rational Functions, First Principle of Differentiation, Limits of Trigonometric Functions & Introduction to Limits etc.

Limits and Derivatives

This chapter covers topics, such as Permutations, Permutations when All the Objects are Distinct, Factorial Notation, Permutations when All the Objects are Not Distinct Objects, Combinations & Fundamental Principle of Counting etc.

Permutation and Combination

This chapter covers topics, such as Logarithmic Series & Exponential Series etc.

Exponential and Logarithmic Series

This chapter covers topics, such as Multiplication of a Vector by a Scalar, Addition of Vectors, Basics of Vectors & Product of Vectors etc.

Vector Algebra

This chapter covers topics, such as Special Functions and Their Graphs, Basics of Relations, Invertible Functions & Types of Relations etc.

Relations and Functions

This chapter covers topics, such as Variance and Standard Deviation, Measures of Dispersion, Analysis of Frequency Distributions, Measures of Central Tendency & Mean Deviation etc.

Statistics

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

Probability

This chapter covers topics, such as Integration by Partial Fractions, Integration by Parts, Integration as an Inverse Process of Differentiation & Methods of Integration etc.

Indefinite Integrals

This chapter covers topics, such as General Equation of a Line, Various Forms of the Equation of a Line, Slope of a Line, Family of Straight Lines, Distance of a Point From a Line, Pair of Straight Lines & Basics of 2D Coordinate Geometry etc.

Straight Lines

This chapter covers topics, such as Venn Diagrams, Difference of Sets, Types of Sets, Sets and Their Representations, Subsets, Operations on Sets, Practical Problems on Union and Intersection of Two Sets & Complement of a Set etc.

Sets

This chapter covers topics, such as General and Middle Terms, Multinomial Theorem & Binomial Theorem for Positive Integral Indices etc.

Binomial Theorem

This chapter covers topics, such as Area of a Triangle, Determinants, Minor and Cofactors, Applications of Determinants and Matrices, Properties of Determinants & Adjoint and Inverse of a Matrix etc.

Determinants

This chapter covers topics, such as Properties of Inverse Trigonometric Functions & Basic Concepts in Inverse Trigonometric Functions etc.

Inverse Trigonometric Functions

This chapter covers topics, such as Harmonic Progression, Geometric Progression, Introduction to Sequences and Series, Arithmetic Progression, Sum to n Terms of Special Series, A.M., G.M. & H.M. and Their Relations etc.

Sequences and Series

This chapter covers topics, such as Maxima and Minima, Approximation, Rate of Change of Quantities, Increasing and Decreasing Function & Tangents and Normals etc.

Application of Derivatives

This chapter covers topics, such as Tangent and Normal to a Circle, Circle and a Point, Basics of Circle & Family of Circles etc.

Circles

This chapter covers topics, such as Derivatives of Composite and Implicit Functions, Logarithmic Differentiation, Derivative of Functions in Parametric Forms & Continuity etc.

Continuity and Differentiability

This chapter covers topics, such as Inverse Matrix, Symmetric and Skew-symmetric Matrices, Basics of Matrices, Operation on Matrices, Types of Matrices & Elementary Operation (Transformation) of a Matrix etc.

Matrices

This chapter covers topics, such as Properties of Definite Integrals, Application of Integrals & Definite Integration etc.

Definite Integrals

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