Mathematics

Mathematics - Xth Grade covers chapters such as Circles, Triangles, Polynomials, Quadrilaterals, Pair of Linear Equations in Two Variables, Lines and Angles, Surface Areas and Volumes and, Areas Related to Circles

Mathematics - Xth Grade

Algebra covers chapters such as Permutation and Combination, Complex Numbers, Binomial Theorem, Sequence and Series, Linear Programming, Mathematical Reasoning, Mathematical Induction, Matrices and Determinants and, Theory of Equation

Algebra

Trigonometry covers chapters such as Inverse Trigonometric Functions, Properties of Triangle, Heights and Distances, Trigonometric Ratios and Identities and, Trigonometric Equations and Inequations

Trigonometry

Coordinate Geometry covers chapters such as Circle, Ellipse, Parabola, Hyperbola and, Straight Line

Coordinate Geometry

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

Differential Calculus

Integral Calculus covers chapters such as Differential Equation, Definite Integration, Indefinite Integration and, Area under Curves

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

The Elements of COORDINATE GEOMETRY Part 1 Cartesian Coordinates

Plane Trigonometry Part 1

Practice Book for KVPY Aptitude Test - Stream SX Mathematics

Chapterwise/Topicwise Daily Practice Problems (DPP) Algebra JEE Main & Advanced

Chapterwise/Topicwise Daily Practice Problems (DPP) Vectors and 3D Geometry JEE Main & Advanced

Chapterwise/Topicwise Daily Practice Problems (DPP) Calculus JEE Main & Advanced

Chapterwise/Topicwise Daily Practice Problems (DPP) Trigonometry JEE Main & Advanced

Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced

Problem Primer for the Olympiad

Understanding ISC Mathematics Class 12 Volume 2

Understanding ISC Mathematics Class 11 Volume 2

Understanding ISC Mathematics Class 11 Volume 1

Understanding ISC Mathematics Class 12 Volume 1

Golden MATHEMATICS CLASS 11

MATHEMATICS PART II Textbook for Class XII

MATHEMATICS PART I Textbook for Class XII

Mathematics Textbook for Class 11

Tangent to Standard Parabola in Slope Form

Tangents to a Circle From an External Point

Volume of a Prism Using Scalar Triple Product

Tangent to the Ellipse at a Given Point

Tangent to a Standard Parabola at a Given Point

The Intersection of a Line and a Circle

Family of Straight Lines: Example

Pair of Lines Parallel to the Pair of Lines

Graphing Quadratic Function: Standard Form

Graphing Quadratic Function: Vertex Form

General Term in a Multinomial Expansion

Distance of a Point From a Plane

Implications of Conditional Statements

Biconditional Statements and Their Negations

Number of Distinct Terms in a Multinomial Expansion

Deriving the Multinomial Theorem

Linear Programming: Manufacturing Problem

Using Algebraic Expressions-Formulas

Properties of Binary Operations

Empty and Universal Relations

Linear Programming: Diet Problem

Linear Programming Transportation Problem

Formulation of a Linear Programming Problem

Linear Programming Resource Allocation Problem

Proof of Midpoint Theorem

Midpoint Theorem

Value of Determinant (Cofactor Expansion)

Minor and Cofactor of Elements of a Determinant

Base of Logarithm

Exponents & Logarithms

Examples of Area of Triangles

Examples of Properties of Triangles

Napier's Analogy

The Projection Formula

Cosine Rule

Sine Rule

Properties of Triangles

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)

n- Geometric Means Between Two Numbers

Factorisation by Algebraic Identities: Illustration 2

Factorisation by Algebraic Identities: Illustration 1

Factorisation Using Difference of Two Squares: Example

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

Finding N Arithmetic Means Between Two Numbers

Arithmetic Mean

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

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

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

Number of Elements in Sets

This chapter covers topics such as Understanding Area of Plane Figures, Triangles on the Same Base and between the Same Parallels, Parallelograms on the Same Base and between the Same Parallels, etc.

Area of Parallelogram and Triangles

This chapter covers topics such as the Mid-point Theorem, Types of Quadrilaterals, Properties of a Parallelogram, etc.

Quadrilaterals

This chapter covers topics such as Congruence of Triangles, Angle Bisector Theorem, Similarity of Triangles, Properties of a Triangle, Pythagoras Theorem, and Inequalities in a Triangle.

Triangles

This chapter covers topics such as Parallel Lines and a Transversal, Pairs of Angles, etc.

Lines and Angles

This chapter covers topics such as Volume of a Combination of Solids, Surface Area of Solid Shapes, Volume of Solid Shapes, Surface Area of a Combination of Solids, Conversion of Solid from One Shape to Another, etc.

Surface Areas and Volumes

This chapter covers topics such as Cyclic Quadrilaterals, Theorems Related to Circle, etc.

Circles

This chapter covers topics such as Perimeter and Area of a Circle, Areas of Combinations of Plane Figures, Areas of Sector and Segment of a Circle, etc.

Areas Related to Circles

This chapter covers topics such as Relationship between Zeros and Coefficients of a Polynomial, Algebraic Identities, Basics of Polynomials, Geometrical Meaning of the Zeros of a Polynomial, Remainder Theorem, Factorisation of Polynomials, etc.

Polynomials

This chapter covers topics such as Introduction to Pair of Linear Equations in Two Variables, Equations Reducible to a Pair of Linear Equations in Two Variables, Algebraic Methods of Solving a Pair of Linear Equations, etc.

Pair of Linear Equations in Two Variables

This chapter covers topics such as Trigonometric Identities, Basics of Trigonometry, Conditional Identities, Trigonometric Series, Range of Trigonometric Expressions, and Trigonometric Functions and Properties.

Trigonometric Ratios and Identities

This chapter covers topics such as Trigonometric Equations and Trigonometric Inequations.

Trigonometric Equations and Inequations

This chapter covers topics such as Distances of the Centres of a Triangle from Its Vertices and Sides, Inradius, Exradii and Circumradius, Relations between Sides and Angles of a Triangle, Half-Angle Formula and the Area of a Triangle, etc.

Properties of Triangle

This chapter covers topics such as Inverse Trigonometric Equations and Inequalities, Identities of Inverse Trigonometric Functions, Basics of Inverse Trigonometric Functions, and Properties of Inverse Trigonometric Functions.

Inverse Trigonometric Functions

This chapter covers topics such as Heights and Distances.

Heights and Distances

This chapter covers topics such as Measures of Dispersion, Correlation and Covariance, Measures of Central Tendency, Basics of Statistics, and Measures of Skewness.

Statistics

This chapter covers topics such as Logical Connectives, Quantifiers and Negations, Conditional Statements, Algebra of Statements, Basics of Mathematical Reasoning, Validity of a Statement, etc.

Mathematical Reasoning

This chapter covers topics such as Integration of Irrational Functions, Methods of Integration, Basics of Indefinite Integral, Reduction Formulae for Indefinite Integration, Integration Using Trigonometric Identities, etc.

Indefinite Integration

This chapter covers topics such as Application of Differential Equations, Basics of Differential Equations, Variable Separable Form, Exact Differential Equations, Linear Differential Equations, Homogeneous Differential Equations, etc.

Differential Equation

This chapter covers topics such as Basics of Definite Integral, Properties of Definite Integral, Definite Integral as Limit of a Sum, Reduction Formulae for Definite Integration, Estimation of Definite Integral, Newton Leibnitz's Theorem, etc.

Definite Integration

This chapter covers topics such as Area Bounded between Two Curves, Area under the Curve, Curve Tracing, etc.

Area under Curves

This chapter covers topics such as Methods of Evaluation of Limits, Basics of Limits, etc.

Limits

This chapter covers topics such as Composite Functions, Transformation of Graphs, Basics of Functions, Types of Functions, Even and Odd Functions, Periodic Functions, Inverse Functions, etc.

Functions

This chapter covers topics such as Methods of Differentiation, Higher Order Derivatives, and Basics of Differentiation.

Differential Coefficient

This chapter covers topics such as Differentiability of a Function, Properties of Differentiable Functions, Continuity of a Function, Properties of Continuous Functions, etc.

Continuity and Differentiability

This chapter covers topics such as Monotonicity, Mean Value Theorems, Tangent and Normal, Derivative as Rate of Change, Interaction between Two Curves, Maxima and Minima, etc.

Application of Derivatives

This chapter covers topics such as Linearly Dependent and Independent Vectors, Scalar and Vector Triple Products, Dot Product of Two Vectors, Basics of Vectors, Addition of Vectors, Geometrical Application of Vectors, etc.

Vector Algebra

This chapter covers topics such as Interaction between a Line and a Plane, Basics of 3D Geometry, Interaction between Two Lines in 3D, Equation of a Line in 3D, Line and a Point, Family of Planes, Equation of Plane, etc.

Three Dimensional Geometry

This chapter covers topics such as Family of Straight Lines, Special Points in a Triangle, Interaction between Two Straight Lines, Pair of Straight Lines, Equation of a Straight Line in Various Forms, Angle Bisectors, etc.

Straight Line

This chapter covers topics such as Basics of Conic Section, Interaction between Parabola and a Line, Properties of Parabola, Interaction between Two Conics, Pair of Tangents, Chord of Contact and Chord with Midpoint of a Parabola, etc.

Parabola

This chapter covers topics such as Basics of Hyperbola, Pair of Tangents, Chord of Contact and Chord with Midpoint of a Hyperbola, Rectangular Hyperbola having Coordinate Axes as Asymptotes, Interaction between Hyperbola and a Line, etc.

Hyperbola

This chapter covers topics such as Pair of Tangents, Chord of Contact and Chord with Midpoint of an Ellipse, Basics of Ellipse, Interaction between Two Conics, Properties of Ellipse, Tangent and Normal to an Ellipse, etc.

Ellipse

This chapter covers topics such as Circle and a Point, Pair of Tangents, Chord of Contact and Chord with Midpoint of a Circle, Tangent and Normal to a Circle, Basics of Circle, Interaction between Circle and a Line, etc.

Circle

This chapter covers topics such as Basics of Sets, Basics of Relations, Binary Operations, Types of Sets, Subsets and Power Set, Types of Relations, Algebra of Sets, etc.

Set Theory and Relations

This chapter covers topics such as A.M., G.M., H.M. and Their Relations, Harmonic Progression, Miscellaneous Series, Arithmetic Progression, Geometric Progression, Arithmetico-Geometric Progression, Basics of Sequence and Series, etc.

Sequence and Series

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