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Index

Sets, Relations and Functions

Complex Numbers and Quadratic Equation

Sequences and Series

Inequalities

Logarithms

Permutations and Combinations

Binomial Theorem & its Simple Applications

Trigonometric Ratios, Functions and Equations

Inverse Trigonometric Functions

Matrices and Determinants

Integral Calculus and Differential Equations

Vector Algebra

Statistics and Probability

Number System

Percentage

Ratio and Proportion

Simplification & Approximation

Compound & Simple Interest

Averages

Problem on Ages

Speed, Distance and Time

Mensuration: Volume, Surface Area & Solid Figures

Data Interpretation

Time and Work

Geometry

Vedic Mathematics

Profit & Loss

Partnerships

Mixtures & Alligations

HCF & LCM

Square Roots & Cube Roots

Indices & Surds

Height & Distance

Graph of linear equation

Probability

Area & Perimeter

Surface area and Volume

Straight Lines

Conic Sections

Three Dimensional Geometry

Basic concepts

First Order Differential Equations

Fundamental Sets Of Solutions

Nonhomogeneous Differential Equations

Variation Of Parameters

Introduction

Heaviside function

Solution of Initial value problem (IVP)

Table Of Laplace Transforms

Some important series and equation

Boundary value

Periodic Functions and Orthogonal Functions

Fourier Series

Revision notes

Important Formulas

All Exams > NDA > Mathematics for NDA > All Notes

All notes of Mathematics for NDA

Sets, Relations and Functions

Important Formulas: Functions With Examples

3 pages

Notes: Sets

26 pages

Notes: Sets

25 pages

Venn Diagrams & Operations on Sets

7 pages

Important Formulas: Functions Formulas

12 pages

Introduction: Relations & Functions

8 pages

Relations & Its Types

10 pages

Composition of Functions

6 pages

Solved Examples for JEE: Sets

10 pages

Algebra of Real Functions & Binary Operations

6 pages

Cartesian Product of Two Sets

2 pages

Solved Examples: Union & Intersection of Sets

7 pages

Classification of Functions

8 pages

Periodic & Inverse Function

6 pages

Representing Real Numbers on Number Line and Law of Exponents - Class 9, Mathematics

5 pages

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Complex Numbers and Quadratic Equation

Basics of Quadratic Equations

12 pages

NCERT Solutions: Complex Numbers & Quadratic Equations

13 pages

Introduction to Complex Number

9 pages

Important Formulas: Complex Numbers & Quadratic Equations

14 pages

Algebra of Complex Numbers

2 pages

NCERT Textbook: Complex Numbers & Quadratic Equations

13 pages

NCERT Exemplar: Complex Numbers & Quadratic Equations

19 pages

Important Properties of Conjugate, Modulus & Argument

2 pages

Modulus & Conjugate of a Complex Number

3 pages

Argand Plane & Polar Representation

4 pages

Representation of a Complex Number

5 pages

Examples: Quadratic Equations

22 pages

Cube Roots of Unity

5 pages

Sequences and Series

NCERT Textbook: Sequences and Series

16 pages

NCERT Solutions: Exercise 8.1-8.2 - Sequence And Series

13 pages

NCERT Solutions: Exercise 8.2 - Sequence and Series

11 pages

Introduction to Sequences and Series

2 pages

NCERT Exemplar: Sequence and Series

16 pages

Arithmetic Progression (A.P)

6 pages

Arithmetic Progression and Geometric Progression

6 pages

Doc: Arithmetic Mean

3 pages

Geometric Progression (G.P)

9 pages

Arithmetico Geometric Series and Harmonic Series

2 pages

Summation of Series

10 pages

Solved Examples for JEE: Summation of Series

6 pages

A.M., G.M., H.M. Inequalities

6 pages

Arithmetic Mean and Special Series

6 pages

Mathematics for NDA

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Inequalities

Inequalities

4 pages

Linear Inequalities in One Variable and Two Variables

12 pages

Logarithms

Important Concepts & Formulas: Logarithms

10 pages

Logarithm: Concepts with Examples

7 pages

Permutations and Combinations

NCERT Exemplar: Permutations and Combinations- 1

20 pages

NCERT Exemplar: Permutations and Combinations- 2

10 pages

Permutations

10 pages

Fundamental Principles of Counting

4 pages

NCERT Textbook: Permutations and Combinations

26 pages

NCERT Solutions: Permutations And Combinations

15 pages

Combinations

7 pages

Important Formulas: Permutations & Combinations

5 pages

Binomial Theorem & its Simple Applications

NCERT Textbook: Binomial Theorem

9 pages

Important Formulas: Binomial Theorem

3 pages

Some Results on Binomial Coefficients and Negative or Fractional Indices

7 pages

General and Middle Terms in the Binomial Theorem

2 pages

Binomial Theorem and Important Terms of Binomial Expansion

4 pages

NCERT Solutions: Binomial Theorem

3 pages

NCERT Exemplar: Binomial Theorem

11 pages

Approximations and Exponential series

1 page

Binomial Expansion for Positive Integral Index

2 pages

Trigonometric Ratios, Functions and Equations

Important Formulas & Examples: Trigonometric Functions - 1

7 pages

Important Formulas & Examples: Trigonometric Functions - 2

4 pages

NCERT Exemplar: Trigonometric Functions

20 pages

NCERT Solutions: Exercise 3.1 - Trigonometric Functions

3 pages

NCERT Textbook: Trigonometric Functions

33 pages

Trigonometric Ratios & Identities- 1

4 pages

Trigonometric Ratios & Identities- 2

6 pages

Trigonometric Equations

12 pages

Basic Trigonometric Functions and Identities

18 pages

Solution of Triangles

35 pages

Important Formulas: Heights and Distance

1 page

Heights and Distances: Solved Examples

11 pages

Inverse Trigonometric Functions

NCERT Solutions Exercise 2.2: Inverse Trigonometric Functions

11 pages

NCERT Solutions Exercise 2.1: Inverse Trigonometric Functions

7 pages

NCERT Solutions Exercise Miscellaneous: Inverse Trigonometric Functions

13 pages

NCERT Exemplar: Inverse Trigonometric Functions

7 pages

Basics Concepts: Inverse Trigonometric Functions

3 pages

NCERT Textbook: Inverse Trigonometric Functions

16 pages

Solved Examples for JEE: Inverse Trigonometric Functions

2 pages

Important Formulas: Inverse Trigonometric Functions

5 pages

Derivatives of Inverse Trigonometric Functions

3 pages

Properties of Inverse Trigonometric Functions

5 pages

Matrices and Determinants

Types of Matrices

4 pages

Definition of a Matrix - Matrices and Determinants, Business Mathematics & Statistics

5 pages

Formula Sheet and Example - Matrices and Determinants

4 pages

Algebra of Matrices - Matrices and Determinants, Business Mathematics & Statistics

1 page

PPT - Matrices and Determinants

40 pages

Matrices and Determinants

4 pages

Properties of Determinants - Matrices and Determinants, Business Mathematics & Statistics

1 page

Elementary Row & Column Operations - Matrices and Determinants, Business Mathematics & Statistics

3 pages

Inverse of a Matrix - Matrices and Determinants, Business Mathematics & Statistics

2 pages

Systems of Linear Equations - Matrices and Determinants, Business Mathematics & Statistics

11 pages

Solution of Linear Equations - Matrices and Determinants, Business Mathematics & Statistics

2 pages

Cramer's Rule - Definition, Formula and Conditions

4 pages

Integral Calculus and Differential Equations

Mean Value Theorem

2 pages

Limits, Continuity & Differentiability

4 pages

Solved examples on Differentiation

2 pages

Maxima and Minima

5 pages

Integration - Calculus

2 pages

Multivariable Integral

3 pages

PPT: Limit, Continuity & Differentiability

10 pages

PPT: Mean Value Theorem

17 pages

PPT: Derivatives & Their Application

18 pages

PPT: Maxima & Minima

4 pages

PPT: Integral Calculus

35 pages

PPT: Application of Integration

17 pages

PPT: Vector Calculus

11 pages

PPT: Stokes, Gauss & Green's Theorem

8 pages

General and Particular Solution of a Differential Equation

4 pages

Vector Algebra

NCERT Textbook: Vector Algebra

39 pages

NCERT Solutions: Exercise - Vector Algebra

6 pages

JEE Main Previous Year Questions (2016- 2025): Vector Algebra and Three Dimensional Geometry

26 pages

Subjective Type Questions: Vector Algebra and Three Dimensional Geometry - 1 | JEE Advanced

7 pages

Types of Vectors

2 pages

Addition and Multiplication of a Vector by a Scalar

1 page

Important Formulas: Section Formula & Scalar Product of Two Vectors

4 pages

Product of Vectors

5 pages

Product of Four Vectors

1 page

Important Formulas: Vector

8 pages

Applications

2 pages

Statistics and Probability

Basics of Probability

7 pages

Conditional Probability

1 page

Bayes’s Theorem for Conditional Probability

1 page

Random Variables

3 pages

Law of total probability

2 pages

Probability Distributions (Uniform Distribution)

2 pages

Probability Distributions (Exponential Distribution)

2 pages

Probability Distributions (Normal Distribution)

4 pages

Probability Distributions (Poisson Distribution)

1 page

Probability Distributions (Binomial Distribution)

3 pages

Mean, Variance and Standard Deviation

1 page

Covariance and Correlation

1 page

PPT: Standard Deviation & Coefficient of Variance

9 pages

PPT: Correlation & Regression Analysis

52 pages

PPT: Random Variables

100 pages

Introduction: Statistics

7 pages

Mind Map: Statistics

2 pages

Number System

Important Formulas: Number System

20 pages

Introduction: Number System

47 pages

Cyclicity & Factorial: Number System

10 pages

Number Systems: Finding Remainders

5 pages

Important Formulas: Square Root & Cube Root

8 pages

Introduction to Different Number Systems (Decimal, Binary, Octal, and Hexadecimal)

4 pages

Percentage

Solved Examples: Percentages

9 pages

Ratio and Proportion

Important Formulas: Ratio and Proportion

7 pages

Ratio & Proportion - Concepts, Properties, and Questions

8 pages

Solved Examples: Ratio & Proportion

9 pages

Simplification & Approximation

Introduction: Simplification & Approximation

6 pages

Simplification

6 pages

Compound & Simple Interest

Simple Interest and Compound Interest

5 pages

Interests: Solved Examples

10 pages

Basic Concepts: Simple Interest & Compound Interest

12 pages

Interests: Solved Examples

10 pages

Important Formulas: Simple Interest and Compound Interest

4 pages

Averages

Detailed Notes: Averages

7 pages

Problem on Ages

Solved Examples of Ages

12 pages

Speed, Distance and Time

Time, Speed and Distance: Solved Examples- 1

7 pages

Time, Speed and Distance: Solved Examples - 2

10 pages

Time, Speed and Distance: Solved Examples - 3

11 pages

Mensuration: Volume, Surface Area & Solid Figures

Volume, Surface Area & Solid Figures

12 pages

Important Formulas: Geometry

1 page

Solved Examples: Mensuration

11 pages

Data Interpretation

Data Interpretation

3 pages

Time and Work

Pipes & Cisterns

6 pages

Overview: Time & Work

24 pages

Important Formulas & Tips: Time & Work

10 pages

Practice Questions: Time & Work

22 pages

Geometry

Circle, Ellipse, Parabola & Hyperbola: Solved Examples

3 pages

Overview: Angles & Lines

2 pages

Triangles

8 pages

Polygons with Solved Examples

10 pages

Examples: Slope of a Line & Straight Line

3 pages

Geometry: Solved Examples- 1

9 pages

Geometry: Solved Examples- 2

8 pages

Geometry Questions with Answer- 3

8 pages

Vedic Mathematics

Vedic Mathematics: Solved Examples

17 pages

Profit & Loss

Solved Examples on Profit & Loss

8 pages

Partnerships

Interests: Solved Examples

10 pages

Basic Concepts: Simple Interest & Compound Interest

12 pages

Interests: Solved Examples

10 pages

Important Formulas: Simple Interest and Compound Interest

4 pages

Mixtures & Alligations

Solved Examples: Alligation & Mixture

4 pages

Practice Questions: Alligation & Mixture

10 pages

Important Concepts: Alligation & Mixture

8 pages

HCF & LCM

Important Notes: HCF & LCM

20 pages

Important Concepts: HCF & LCM

7 pages

Practice Questions: HCF & LCM

4 pages

CAT Past Year Questions: HCF & LCM

1 page

Square Roots & Cube Roots

Squares, Square Roots, Cubes, Cube Roots

8 pages

Indices & Surds

Surd

5 pages

Height & Distance

Important Formulas: Heights and Distance

1 page

Heights and Distances: Solved Examples

11 pages

Graph of linear equation

Equations of Lines Parallel to the x-axis & y-axis

5 pages

Graph of Linear Equations in Two Variables

4 pages

Probability

Probability: Solved Examples- 1

14 pages

Important Formulas: Probability

8 pages

Questions with Answers: Probability

1 page

Probability: Solved Examples- 2

3 pages

Examples: Probability

2 pages

Introduction: Probability

10 pages

Area & Perimeter

Mensuration - Practice Questions

5 pages

Area & Perimeter - Important Topics & Formulas

1 page

Surface area and Volume

Volume, Surface Area & Solid Figures

12 pages

Important Formulas: Geometry

1 page

Triangles

8 pages

Overview: Angles & Lines

2 pages

Polygons with Solved Examples

10 pages

Geometry: Solved Examples- 1

9 pages

Important Formulae: Geometry & Mensuration

8 pages

Geometry: Solved Examples- 2

8 pages

Geometry Questions with Answer- 3

8 pages

Straight Lines

NCERT Textbook: Straight Lines

25 pages

Examples: Slope of a Line & Straight Line

3 pages

NCERT Solutions: Straight Lines

60 pages

NCERT Solutions: Exercise 9.2- Straight Lines

9 pages

NCERT Solutions: Straight Lines- 3

15 pages

Coordinate Geometry

3 pages

Basics of Straight Lines

4 pages

Area of Triangle

4 pages

Angle Between Two lines

2 pages

Various Forms of the Equation of Line

4 pages

The distance of Point From a Line

3 pages

Point Slope Form and Two Point Form

5 pages

Distance of a Point from a Line and Distance between two Parallel Lines

12 pages

Important Formulas: Straight Lines & Pair of Straight Lines

11 pages

Conic Sections

NCERT Textbook: Conic Sections

32 pages

NCERT Solutions: Exercise 10.1 - Conic Sections

8 pages

NCERT Exemplar: Conic Sections (Exercise)

33 pages

Overview: Conic Sections

6 pages

Circle: Theorems and Equation

31 pages

Parabola

21 pages

Ellipse

15 pages

Hyperbola

19 pages

Circle, Ellipse, Parabola & Hyperbola: Solved Examples

3 pages

Three Dimensional Geometry

NCERT Solutions: Three Dimensional Geometry

38 pages

Basic Concepts of Three Dimensional Geometry

19 pages

NCERT Textbook: Three Dimensional Geometry

9 pages

NCERT Exemplar: Three Dimensional Geometry

24 pages

Direction Cosines and Direction Ratios of a Line

4 pages

Direction Cosines of a Line

16 pages

Equation of Straight Line

14 pages

Angle Between Two Intersecting Lines and Shortest Distance

3 pages

Important Formulas - 3D Geometry

3 pages

Area of a Triangle and Equation of a Plane

1 page

Equation of Sphere

3 pages

Basic concepts

Definitions, Basic concepts

9 pages

Direction Fields

15 pages

First Order Differential Equations

Linear Equations

13 pages

Exact Equations

11 pages

Separable Equations

10 pages

Substitutions, First Order Differential Equations

6 pages

Bernoulli Differential Equations

6 pages

Intervals of Validity

26 pages

Reduction of Order

4 pages

Basic Concepts

6 pages

Complex Roots

4 pages

Repeated Roots

3 pages

Real Roots, First Order Differential Equations

2 pages

Real Valued Functions

15 pages

Fundamental Sets Of Solutions

Fundamental Sets of Solutions

13 pages

Nonhomogeneous Differential Equations

Nonhomogeneous Differential Equations

26 pages

Variation Of Parameters

Variation Of Parameters

6 pages

Introduction

Introduction, Laplace Transforms

20 pages

Heaviside function

Step Functions

12 pages

Solution of Initial value problem (IVP)

Solution of Initial value problem (IVP)

16 pages

Table Of Laplace Transforms

Table of Laplace Transforms

1 page

Some important series and equation

Some Important Series and Equations

30 pages

Boundary value

Eigenvalues and Eigenfunctions

20 pages

Boundary Value Problems

9 pages

Periodic Functions and Orthogonal Functions

Periodic Functions and Orthogonal Functions

6 pages

Increasing and Decreasing Functions

4 pages

Fourier Series

Fourier Sine and Cosine Series

18 pages

Fourier Series and it's Convergence

18 pages

Revision notes

Revision Notes: Differential Equations

2 pages

Important Formulas

Important Formulas: Functions Formulas

12 pages

Important Formulas: Complex Numbers & Quadratic Equations

14 pages

Important Properties of Conjugate, Modulus & Argument

2 pages

Important Concepts & Formulas: Logarithms

10 pages

Important Formulas: Permutations & Combinations

5 pages

Important Formulas: Binomial Theorem

3 pages

Important Formulas & Examples: Trigonometric Functions - 1

7 pages

Important Formulas & Examples: Trigonometric Functions - 2

4 pages

Important Formulas: Inverse Trigonometric Functions

5 pages

Formula Sheet and Example - Matrices and Determinants

4 pages

Important Formulas: Section Formula & Scalar Product of Two Vectors

4 pages

Important Formulas: Vector

8 pages

Important Formulas: Number System

20 pages

Important Formulas: Square Root & Cube Root

8 pages

Sets

3 pages

Sequence and Series

1 page

Integral Calculus and Differential Equations

1 page

Stats and Probability

1 page

Mathematics for NDA

290 videos|298 docs|232 tests

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Revision notes for Mathematics for NDA 2025 is part of NDA exam preparation. The notes have been prepared according to the NDA exam syllabus. The revision notes, tests & MCQs are made for NDA 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

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