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Math Study Material: Chapter-wise Topics, Formulae, NCERT Solutions

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Math Study Material includes chapter-wise topics covered for Classes 5th to 12th. Important concepts including Definitions, Differences, Formulae, Important MCQs, and NCERT Solutions. Some of the main branches of mathematics are Algebra, Number Theory, Arithmetic, Geometry, Probability and Statistics, Topology, Matrix Algebra, etc. 

CBSE Class 12 Mathematics Chapter-wise Topics

Chapter-wise topics for Class 5th – 12th are provided in the following sections:

Class 5 Chapter-wise Topics

Key topics from Chapter Ways to Multiply and Divide are:

  1. Divide
  2. Dividend
  3. Quotient
  4. Multiplication and Division
  5. Multiplication Tricks

Class 6 Chapter-wise Links and Important Topics

Class 6 Chapter-wise Links and Important Topics are provided below:

Class 6 Chapters NCERT Solutions
Knowing Our Numbers Class 6 Mathematics Chapter 1 KNOWING OUR NUMBERS
Whole Numbers Class 6 Mathematics Chapter 2 WHOLE NUMBERS
Playing With Numbers Class 6 Mathematics Chapter 3 PLAYING WITH NUMBERS
Basic Geometrical Ideas Class 6 Mathematics Chapter 4 BASIC GEOMETRICAL IDEAS
Understanding Elementary Shapes Class 6 Mathematics Chapter 5 UNDERSTANDING ELEMENTARY SHAPES
Integers Class 6 Mathematics Chapter 6 INTEGERS
Fractions Class 6 Mathematics Chapter 7 FRACTIONS
Decimals Class 6 Mathematics Chapter 8 DECIMALS
Data Handling Class 6 Mathematics Chapter 9 DATA HANDLING
Mensuration Class 6 Mathematics Chapter 10 MENSURATION
Algebra Class 6 Mathematics Chapter 11 ALGEBRA
Ratio and Proportion Class 6 Mathematics Chapter 12 RATIO AND PROPORTION
Symmetry Class 6 Mathematics Chapter 13 SYMMETRY
Practical Geometry Class 6 Mathematics Chapter 14 PRACTICAL GEOMETRY

Click Here for Important Topics

  1. Maths formulas for class 6
  2. Proportion Formula
  3. Even and odd numbers
  4. Co prime numbers
  5. Algebra symbols
  6. Addition table
  7. Divisibility rules for 13
  8. Divisibility rules
  9. Comparing fractions an overview
  10. Descending order
  11. Decimals
  12. Digit
  13. LCM formula
  14. Unit rate formula
  15. Is 1 a prime number
  16. Roman numerals
  17. Prime numbers
  18. Estimation of numbers
  19. Addition and subtraction in decimals
  20. Divisor
  21. Decimal numbers standard form
  22. Difference between natural and whole numbers
  23. Addition and subtraction of fractions
  24. Natural numbers and whole numbers
  25. Equivalent fractions
  26. Algebra as pattern
  27. Difference between place value and face value

Class 7 Chapter-wise Links and Important Topics

Class 7 Chapter-wise Links and Important Topics are:

Chapter Name NCERT Solutions
Integers Class 7 Mathematics Chapter 1 Integers
Fractions and Decimals Class 7 Mathematics Chapter 2 Fractions and Decimals
Data Handling Class 7 Mathematics Chapter 3 Data Handling
Simple Equations Class 7 Mathematics Chapter 4 Simple Equations
Lines and Angles Class 7 Mathematics Chapter 5 Lines and Angles
Triangle and its Properties Class 7 Mathematics Chapter 6 The Triangle and its Properties
Congruence of Triangles Class 7 Mathematics Chapter 7 Congruence of Triangles
Comparing Quantities Class 7 Mathematics Chapter 8 Comparing Quantities
Rational Numbers Class 7 Mathematics Chapter 9 Rational Numbers
Practical Geometry Class 7 Mathematics Chapter 10 Practical Geometry
Perimeter and Area Class 7 Mathematics Chapter 11 Perimeter and Area
Algebraic Expressions Class 7 Mathematics Chapter 12 Algebraic Expressions
Exponents and Powers Class 7 Mathematics Chapter 13 Exponents and Powers
Symmetry Class 7 Mathematics Chapter 14 Symmetry
Visualising Solid Shapes Class 7 Mathematics Chapter 15 Visualising Solid Shapes

Click Here for Important Topics

  1. How To Calculate Percentage
  2. Difference Between Cube And Cuboid
  3. Isosceles Triangle Theorems
  4. Area Of Square Using Diagonal
  5. Triangle Inequality Theorem
  6. Triangle Theorems
  7. Bodmas Rule
  8. Difference Between Area And Perimeter
  9. Isosceles Right Triangle
  10. Additive Inverse
  11. Unitary Method
  12. Percentage
  13. Area Of Isosceles Triangle
  14. Area Perimeter Formula
  15. Perimeter Of Triangle
  16. Square Footage Formula
  17. Square Formula
  18. Area Formulas
  19. Associative Property Formula
  20. Commutative Property Formula
  21. Consecutive Integers Formula
  22. Interest Formula
  23. Percent Decrease Formula
  24. Percent Difference Formula
  25. Percentage Change Formula
  26. Percentage Formula
  27. Perimeter Of Trapezoid Formula
  28. Construction Perpendicular Lines
  29. Concept Of Ratio
  30. Distributive Properties
  31. Acute Angle Triangle
  32. Altitude Median Triangle
  33. Co Ordinates Of A Point In Three Dimensions
  34. Construction Parallel Lines External Point
  35. Decimal Fractions
  36. Decimals In Daily Life
  37. Perimeter Of A Trapezoid Formula
  38. Perimeter Of A Triangle Formula
  39. Circumcenter Of A Triangle
  40. Types Of Fraction
  41. Right Angle
  42. Reciprocals
  43. Unit Rate
  44. Triangular Numbers
  45. Straight Angle
  46. Properties Of Integers
  47. Reciprocal And Division Of Fractions
  48. Sections Solids Slicing Shadows
  49. Perimeter Of Rectangle
  50. Percentage Increase Decrease
  51. Hypotenuse
  52. Line Of Symmetry
  53. Percent To Fraction
  54. Area Of Shapes
  55. Area Of Pentagon
  56. Area Of Hexagon
  57. Profit Loss Percentage
  58. Properties Multiplication Integers
  59. Pictorial Representation Of Data
  60. Pictograph
  61. Perimeter Two Angles Constructing Triangles
  62. Operations Of Integers
  63. Obtuse Angled Triangle
  64. Multiplying Fractions
  65. Lines Of Symmetry In A Rectangle
  66. Lines Of Symmetry In A Parallelogram
  67. Like And Unlike Algebraic Terms
  68. Introduction To Large Numbers
  69. Average

Class 8 Chapter-wise Links and Important Topics

Class 8 Chapter-wise Links and Important Topics are provided below:

Chapter Name NCERT Solutions
Rational Numbers Class 8 Mathematics Chapter 1 Rational Numbers
Linear Equations in One Variable Class 8 Mathematics Chapter 2 Linear Equations in One Variable
Understanding Quadrilaterals Class 8 Mathematics Chapter 3 Understanding Quadrilaterals
Practical Geometry Class 8 Mathematics Chapter 4 Practical Geometry
Data Handling Class 8 Mathematics Chapter 5 Data Handling
Squares and Square Roots Class 8 Mathematics Chapter 6 Squares and Square Roots
Cubes and Cube Roots Class 8 Mathematics Chapter 7 Cubes and Cube Roots
Comparing Quantities Class 8 Mathematics Chapter 8 Comparing Quantities
Algebraic Expressions and Identities Class 8 Mathematics Chapter 9 Algebraic Expressions and Identities
VIsualising Solid Shapes Class 8 Mathematics Chapter 10 Visualising Solid Shapes
Mensuration Class 8 Mathematics Chapter 11 Mensuration
Exponents and Powers Class 8 Mathematics Chapter 12 Exponents and Powers
Direct and Inverse Proportions Class 8 Mathematics Chapter 13 Direct and Inverse Proportions
Factorisation Class 8 Mathematics Chapter 14 Factorisation
Introduction to Graphs Class 8 Mathematics Chapter 15 Introduction to Graphs
Playing with Numbers Class 8 Mathematics Chapter 16 Playing with Numbers

Click Here for Important Topics

  1. Natural Numbers and Whole Numbers
  2. Closure Property
  3. Fraction and Rational Number
  4. Rational Numbers on Numberline
  5. Rational Numbers between 2 Rational Numbers
  6. Root 2 is Irrational
  7. Cross Multiplication by method of solving linear equation
  8. Solving Linear Equation
  9. Reducing equations to simpler forms
  10. Solving equations having variables of both sides
  11. Equations reducible to linear form
  12. Division of monomial by another monomial
  13. Division of Polynomial by monomial
  14. Linear Approximation Formula
  15. Linear Equation with one variable MCQs
  16. Pythogorean Triples Formula
  17. Types of Polygon
  18. Kite
  19. Parallelogram
  20. Rhombus
  21. Rectangle
  22. Area of Quadrilateral
  23. Exterior Angles of Polygon
  24. Construction of Rhombus
  25. Practical Geometry MCQs
  26. Data Sets
  27. Data collection and organisation
  28. Pie Chart
  29. Pictorial Representation of Data
  30. Data Handling MCQs
  31. Square Roots
  32. Square roots through repetitive subtraction
  33. Square roots through prime factorisation
  34. Estimating Square root
  35. Square root MCQs
  36. Cubes
  37. Cube Formula
  38. Cube root MCQs​
  39. Ratio and Percentage
  40. Compound Interest
  41. Increase or Decrease in Percentage
  42. Discounts
  43. Cost Price and Selling price
  44. Sales Tax
  45. Profit and Loss Formula
  46. Comparing Quantities MCQ
  47. Terms Factors and Coefficient
  48. Like and Unlike Terms
  49. Multiplication of Algebraic Expressions
  50. Multiplication of Monomial by Monomial
  51. Multiplication of Monomial by Polynomial
  52. Standard Algebraic Identities
  53. Pythogorean Triples Formula
  54. Some Interesting Patterns
  55. Mapping Space around us
  56. Faces, edges and Vertices
  57. Area of Square
  58. Area of Rectangle
  59. Area of Rhombus
  60. Volume and Capacity
  61. Mensuration Formula
  62. Difference between Powers and Exponents
  63. Powers and Negative Exponents
  64. Uses of Exponents to Express small numbers in standard form
  65. Direct Proportion
  66. Numbers in General Form
  67. Divisibility rule of 3
  68. Factoring Formula
  69. Factoring Trinomials Formula
  70. Division of Monomial by another monomial
  71. Division of Polynomial by another monomial
  72. Bar Graphs
  73. Histogram
  74. Introduction to Graphs MCQS
  75. Prime numbers
  76. Is 1 a prime number
  77. LCM Formula
  78. Divisibility Rules
  79. Playing With Numbers MCQs
  80. Grouping Data
  81. Heptagon

Class 9 Chapter-wise Links and Important Topics

Class 9 Chapter-wise Links and Important Topics are listed in the table below:

Chapter Name NCERT Solutions
Number Systems Class 9 Mathematics Chapter 1 NUMBER SYSTEMS
Polynomials in One Variable Class 9 Mathematics Chapter 2 POLYNOMIALS
Coordinate Geometry Class 9 Mathematics Chapter 3 COORDINATE GEOMETRY
Linear Equations in Two Variables Class 9 Mathematics Chapter 4 LINEAR EQUATIONS IN TWO VARIABLES
Introduction to Euclid’s Geometry Class 9 Mathematics Chapter 5 INTRODUCTION TO EUCLID’S GEOMETRY
Lines and Angles Class 9 Mathematics Chapter 6 LINES AND ANGLES
Triangles Class 9 Mathematics Chapter 7 TRIANGLES
Quadrilaterals Class 9 Mathematics Chapter 8 QUADRILATERALS
Areas of Parallelograms and Triangles Class 9 Mathematics Chapter 9 AREAS OF PARALLELOGRAMS AND TRIANGLES
Circles Class 9 Mathematics Chapter 10 CIRCLES
Constructions Class 9 Mathematics Chapter 11 CONSTRUCTIONS
Heron’s Formula Class 9 Mathematics Chapter 12 HERON’S FORMULA
Surface Areas and Volumes Class 9 Mathematics Chapter 13 SURFACE AREAS AND VOLUMES
Statistics Class 9 Mathematics Chapter 14 STATISTICS
Probability Class 9 Mathematics Chapter 15 PROBABILITY

Click Here for Important Topics

  1. Factorisation of Polynomials
  2. Triangle Inequality
  3. Pairs of Angles
  4. Cartesian System
  5. Polynomials in One Variable
  6. Irrational Numbers
  7. Operations on Rational Numbers
  8. Algebraic Identities
  9. Types of Quadrilaterals
  10. Measures of Central Tendency
  11. Histogram
  12. Bar Graphs
  13. Volume of a Sphere
  14. Volume of a Right Circular Cone
  15. Parallel Lines and a Transversal
  16. Surface Area of a Right Circular Cone
  17. Parallel Lines and a Transversal
  18. Areas of Parallelograms and Triangles
  19. Vertex
  20. Ordinate
  21. Collinear points
  22. Coordinate System
  23. Quadrants
  24. Binomial
  25. Graphical Representation of Data
  26. Sphere Formula
  27. Volume of a Cuboid
  28. What is Heron's Formula
  29. Graph of a Linear Equation in Two Variables
  30. Sphere Formula
  31. Volume of Hemisphere
  32. Application Of Linear Graphs
  33. Area of Parallelogram
  34. Lateral surface area
  35. Trapezoids
  36. Corresponding angles axiom
  37. Perpendicular Bisector
  38. Difference Between Line And Line Segment
  39. Transversal
  40. Properties of Triangle
  41. Line Segment And Ray
  42. Linear Pair Axiom
  43. Formula Of Perimeter Shapes
  44. Line segment
  45. Types Of Triangles
  46. Surface Area of a Cone Formula
  47. Area of Equilateral Triangle, Perimeter & Altitude Formulas
  48. Quadrilateral Angle Sum Property
  49. Alternate Angles
  50. Perimeter of a Parallelogram
  51. Difference Between Area and Surface Area
  52. Isosceles triangle
  53. Scalene Triangle
  54. Quadrant
  55. Surface Area of Cuboid
  56. Remainder Theorem
  57. Rationalize the Denominator
  58. Triangular Prism
  59. Angle Formula
  60. Properties of Parallel Lines
  61. Heron Formula
  62. Central Tendency
  63. Quadrilateral Formula
  64. Quadrilateral Angle Sum Property
  65. Area of Equilateral Triangle, Perimeter & Altitude Formulas
  66. Surface Area of a Cone Formula
  67. Frequency Distribution Table Statistics
  68. Cubic meter
  69. Area of a Kite Formula
  70. Volume of a Pyramid Formula
  71. Acute Angle
  72. Exterior angle theorem
  73. Cuboid
  74. Obtuse angle
  75. Mid point theorem
  76. tangential quadrilateral formula
  77. Constructing angles
  78. Cumulative distribution function
  79. Angles of a Parallelogram

Class 10 Chapter-wise Links and Important Topics

Class 10 Chapter-wise Links are given below:

Chapter Name NCERT Solutions
Real Numbers Class 10 Mathematics Chapter 1 Real Numbers
Polynomials Class 10 Mathematics Chapter 2 Polynomials
Pair of Linear Equations in Two Vairables Class 10 Mathematics Chapter 3 Pair Of Linear Equations In Two Variables
Quadratic Equations Class 10 Mathematics Chapter 4 Quadratic Equations
Arithmetic Progressions Class 10 Mathematics Chapter 5 Arithmetic Progressions
Triangles Class 10 Mathematics Chapter 6 Triangles
Coordinate Geometry Class 10 Mathematics Chapter 7 Coordinate Geometry
Introduction to Trigonometry Class 10 Mathematics Chapter 8 Introduction to Trigonometry
Some Applications of Trigonometry Class 10 Mathematics Chapter 9 Some Applications of Trigonometry
Circles Class 10 Mathematics Chapter 10 Circles
Constructions Class 10 Mathematics Chapter 11 Constructions
Areas Related to Circles Class 10 Mathematics Chapter 12 Areas Related to Circles
Surface Areas and Volumes Class 10 Mathematics Chapter 13 Surface Areas and Volumes
Statistics Class 10 Mathematics Chapter 14 Statistics
Probability Class 10 Mathematics Chapter 15 Probability

Click Here for Important Topics

  1. Root 2 is irrational
  2. CBSE Class 10 Polynomials Revision Notes
  3. Degree of polynomial
  4. CBSE Class 10 Arithmetic Progressions Revision Notes
  5. Congruence Of Triangles
  6. CBSE Class 10 Pair of Linear Equations in Two Variables Important Question
  7. CBSE Class 10 Arithmetic Progressions Formula
  8. CBSE Class 10 Pair of Linear Equations in Two Variables Revision Notes
  9. CBSE Class 10 Real Numbers Formula
  10. Unit 2 Chapter 3 Substitution Method
  11. CBSE Class 10 Triangles Important Question
  12. CBSE Class 10 Triangles Important Question
  13. Unit 2 Chapter 3 Elimination Method
  14. CBSE Class 10 Circles Important Question
  15. CBSE Class 10 Real Numbers Important Question
  16. Unit 2 Chapter 4 Nature of Roots
  17. CBSE Class 10 Triangles Revision Notes
  18. Unit 2 Chapter 2 Polynomials
  19. Unit 4 Chapter 6 Similarity of Triangles
  20. CBSE Class 10 Polynomials Formula
  21. CBSE Class 10 Circles Revision Notes
  22. Unit 4 Chapter 6 Pythagoras Theorem
  23. CBSE Class 10 Polynomials Important Question
  24. CBSE Class 10 Quadratic Equations Formula
  25. Unit 3 Chapter 7 Distance Formula
  26. Unit 4 Chapter 10 Tangent to a Circle
  27. CBSE Class 10 Constructions Formula
  28. Unit 3 Chapter 7 Section Formula
  29. CBSE Class 10 Introduction to Trigonometry Important Question
  30. CBSE Class 10 Introduction to Trigonometry Formula
  31. Unit 5 Chapter 8 Trigonometric Identities
  32. CBSE Class 10 Introduction to Trigonometry Revision Notes
  33. Unit 5 Chapter 9 Some Applications of Trigonometry
  34. Unit 5 Chapter 9 Heights and Distances
  35. CBSE Class 10 Some Applications of Trigonometry Important Question
  36. CBSE Class 10 Some Applications of Trigonometry Revision Notes
  37. Equally Likely Events
  38. CBSE Class 10 Constructions Revision Notes
  39. Unit 6 Chapter 12 Perimeter and Area of a Circle
  40. Unit 7 Chapter 14 Mean of Grouped Data
  41. CBSE Class 10 Mathematics Important Question
  42. Parabola Graph
  43. Empirical Probability
  44. Unit 6 Chapter 12 Circumference of Circle
  45. Unit 7 Chapter 14 Mode of Grouped Data
  46. CBSE Class 10 Mathematics Preparation Tips
  47. Events in Probability
  48. Basic Proportionality Theorem
  49. CBSE Class 10 Areas Related to Circles Formula
  50. CBSE Class 10 Statistics Revision Notes
  51. Complimentary Events
  52. CBSE Class 10 Areas Related to Circles Revision Notes
  53. Angle of Depression
  54. Impossible Events
  55. Unit 6 Chapter 13 Surface Areas and Volumes
  56. Unit 7 Chapter 15 Probability
  57. Cumulative Frequency Curve
  58. Sure Event
  59. Cosec Cot Formula
  60. Class Mark
  61. Experimental Probability
  62. CBSE Class 10 Surface Areas and Volumes Revision Notes
  63. Unit 7 Chapter 15 Probability — A Theoretical Approach
  64. Step Deviation Method
  65. Elementary Event
  66. Theoretical Probability
  67. Sum of Probabilities
  68. Geometric Probability
  69. Area of Sector
  70. Value of e 
  71. Cubic polynomial
  72. Difference Between Mean Median and Mode
  73. Centroid
  74. Trigonometry Table
  75. Trigonometric Ratios
  76. Trigonometry Values
  77. Degree of a Polynomial
  78. Surface Area of a Cylinder
  79. Value of cos 60
  80. Sin 30 Degrees
  81. Relation Between HCF and LCM
  82. Mean Formula
  83. Geometric Progression
  84. Surface Area of a Hemisphere
  85. Midpoint Formula
  86. Sector Of A Circle
  87. Zeros of Polynomial
  88. Geometry Formula
  89. Semi Circle
  90. Area of Hollow Cylinder
  91. Centroid Formula
  92. Sin 0 Degrees
  93. Fundamental Theorem Of Arithmetic
  94. Area of Segment of a Circle
  95. Surface Area of a Cylinder Formula
  96. Circle Formulas for Diameter, Area & Circumference with Examples
  97. Statistics for Class 10
  98. Tan 0 Degrees
  99. Sec 90
  100. Polynomial Formula
  101. Decimal Expansion of Rational Numbers with Solved Examples
  102. Euler's Formula
  103. Annulus
  104. Discriminant Formula in Quadratic Equations with Solved Examples
  105. Area of a Circle Formula
  106. Volume of a triangular prism formula
  107. Empirical probability formula
  108. Arc Length Formula
  109. Centroid of a Triangle
  110. Vietas formula
  111. Rectangular parallelepiped formula
  112. Algebraic Expressions Formula with Solved Examples
  113. Algebra formulas for class 10
  114. Surface area of a prism formula
  115. Point of intersection formula\
  116. Area of prism
  117. Surface area of a pyramid formula
  118. Cevas theorem
  119. Surface area of a rectangular prism formula
  120. Confidence interval
  121. Surface area of a square pyramid formula
  122. Area of similar triangles
  123. Surface area of a triangular prism formula
  124. Connectivity
  125. 30 60 90 formula
  126. Central angle of a circle formula
  127. Cumulative frequency distribution
  128. Volume of a rectangular prism formula
  129. Confidence interval formula
  130. Volume of a square pyramid formula
  131. Tangent Circle Formula with Solved Example

Class 11 Chapter-wise Links and Important Topics

Class 11 Chapter-wise Links are provided below:

Chapter Name NCERT Solutions
Sets NCERT Solutions for Class 11 Mathematics Chapter 1 Sets
Relations and Functions NCERT Solutions for Class 11 Mathematics Chapter 2 Relations and Functions
Trigonometric Functions NCERT Solutions for Class 11 Mathematics Chapter 3 Trigonometric Functions
Principle of Mathematical Induction NCERT Solutions for Class 11 Mathematics Chapter 4 Principle of Mathematical Induction
Complex Numbers and Quadratic Equations NCERT Solutions for Class 11 Mathematics Chapter 5 Complex Numbers and Quadratic Equations
Linear Inequalities NCERT Solutions for Class 11 Mathematics Chapter 6 Linear Inequalities
Permutations and Combinations NCERT Solutions for Class 11 Mathematics Chapter 7 Permutations and Combinations
Binomial Theorem NCERT Solutions for Class 11 Mathematics Chapter 8 Binomial Theorem
Sequence and Series NCERT Solutions for Class 11 Mathematics Chapter 9 Sequences and Series
Straight Lines NCERT Solutions for Class 11 Mathematics Chapter 10 Straight Lines
Conic Sections  NCERT Solutions for Class 11 Mathematics Chapter 11 Conic Sections
Three Dimensional Geometry NCERT Solutions for Class 11 Mathematics Chapter 12 Introduction to Three Dimensional Geometry
Limits and Derivatives NCERT Solutions for Class 11 Mathematics Chapter 13 Limits and Derivatives
Mathematical Reasoning NCERT Solutions for Class 11 Mathematics Chapter 14 Mathematical Reasoning
Statistics NCERT Solutions for Class 11 Mathematics Chapter 15 Statistics
Probability NCERT Solutions for Class 11 Mathematics Chapter 16 Probability

Click Here for Important Topics

  1. Sets and their representations  
  2. Equal sets 
  3. Universal set
  4. Venn diagrams
  5. Union of sets
  6. Types of Sets
  7. De Morgan’s Laws
  8. Set Theory Symbols
  9. Set Formulas
  10. Group Theory
  11. Important Questions in Sets Chapter
  12. ​Ordered Pair
  13. Relation 
  14. Range and Functions
  15. Domain and Codomain
  16. Real Function
  17. Onto Function
  18. Polynomial Function
  19. Addition of Two Real Functions
  20. Function notation formula
  21. Relations and Functions Important Questions
  22. Tan2x Formula
  23. Sin2x Formula
  24. Cos2x Formula
  25. Sin squared x formula
  26. Sin 0 Degrees
  27. Cosine Rule
  28. Sin 180 Degrees
  29. Tan 0 Degrees
  30. Law of Sines
  31. Cosine Formula
  32. Trigonometric Functions important questions
  33. Nature of Roots
  34. Complex Numbers and Quadratic Equations
  35. Complex Numbers
  36. Conjugate of A Complex Number
  37. R squared formula
  38. Quadratic Equations Formula
  39. Algebraic Operations on Complex Numbers
  40. De moivre formula
  41. Discriminant Formula
  42. Complex Numbers and Quadratic Equation Important Questions
  43. Solving Inequalities
  44. Linear Inequalities Important Questions
  45. Permutation
  46. Factorial
  47. Permutations and Combinations formulas
  48. Stirling Formula
  49. Combination Formula
  50. Combinatorics
  51. Difference between permutation and combination
  52. Permutations and Combinations Important Questions
  53. Binomial Theorem class 11
  54. Pascal’s triangle
  55. Binomial Expansion Formula
  56. Perfect Square Binomial Formula
  57. Binomial Theorem Important Questions
  58. Harmonic Mean
  59. Sum of Squares
  60. Difference between sequence and series
  61. Summation formula
  62. Series Formula 
  63. Arithmetic Progression
  64. Geometric Mean
  65. Geometric Progression
  66. Sequence and Series Important Questions
  67. Point Gradient Formula
  68. Perpendicular line formula
  69. Horizontal and vertical lines
  70. Slope Formula
  71. Intercept
  72. Straight Lines Important Questions
  73. Circles 
  74. Ellipse 
  75. Parabola
  76. Hyperbola
  77. Eccentricity
  78. Locus
  79. Eccentricity of Ellipse
  80. Latus rectum of Ellipse
  81. Parabola Formula
  82. Latus rectum of Hyperbola
  83. Conic Sections Important Questions
  84. ​Distance between Two Points
  85. Angle Between Two Plane
  86. Angle between two lines
  87. Angle between line and plane
  88. Introduction to Three Dimensional Geometry Important Questions
  89. Value of Log Infinity
  90. Derivative of Inverse Trigonometric Function
  91. Ln and Log
  92. Conjunction
  93. Irrational Number
  94. Prime Number
  95. Real Number
  96. Mathematical Reasoning Important Questions
  97. Mean deviation 
  98. Standard Deviation
  99. Mode of Grouped Data
  100. Median Formula
  101. Difference between mean and median
  102. Difference between average and mean
  103. Frequency Distribution Table
  104. Statistics Important Questions
  105. Event
  106. Types of events
  107. Probability distribution
  108. Multiplication Rule of Probability
  109. Coin toss probability formula
  110. Empirical Probability Formula
  111. Sample Space
  112. Probability Important Questions

Class 12 Chapter-wise Links and Important Topics

Class 12 Chapter-wise Links are:

Chapter Name NCERT Solutions
Relations and functions Class 12 Mathematics Chapter 1 Relations and Functions
Ivverse trigonometric functions Class 12 Mathematics Chapter 2 Inverse Trignometric Functions
Matrices Class 12 Mathematics Chapter 3 Matrices
Determinants of a matrix Class 12 Mathematics Chapter 4 Determinants
Continuity and Differentiability Class 12 Mathematics Chapter 5 Continuity and Differentiability
Application of Derivatives Class 12 Mathematics Chapter 6 Applications of Derivatives
Integrals Class 12 Mathematics Chapter 7 Integrals
Applications of Integrals Class 12 Mathematics Chapter 8 Applications of the Integrals
Differential equation Class 12 Mathematics Chapter 9 Differential Equations
Vector Algebra Class 12 Mathematics Chapter 10 Vector Algebra
Three Dimensional Geometry Class 12 Mathematics Chapter 11 Three Dimensional Geometry
Linear Programming Class 12 Mathematics Chapter 12 Linear Programming
Probability Class 12 Mathematics Chapter 13 Probability

Click Here for Important Topics

  1. Types of Relations
  2. Types of Functions
  3. Binary Operations
  4. Ordered Pairs
  5. Relations and Functions Important Questions
  6. Relations and Functions Handwritten Notes
  7. Sine function
  8. Cosine Function
  9. Tangent Function 
  10. Secant Function
  11. Cotangent Function
  12. Cosecant Function
  13. Properties of Inverse Trigonometric Functions
  14. Inverse Trigonometric Functions - List of Important Formulas
  15. Inverse Trigonometric Functions Handwritten Notes
  16. Types of Matrices
  17. Operations in Matrices
  18. Transpose of a Matrix
  19. Symmetric and Skew Symmetric Matrices
  20. Invertible Matrices
  21. Matrices Handwritten Notes
  22. Properties of Determinants
  23. Minors and Cofactors
  24. Determinant of a Matrix
  25. Determinants Formula
  26. Determinants Handwritten Notes
  27. Mean Value Theorem
  28. Rolle’s Theorem
  29. Limits
  30. Euler’s Number
  31. Quotient Rule
  32. Continuity and Differentiability Handwritten Notes
  33. Increasing and Decreasing Functions
  34. Tangents and Normals
  35. Approximations
  36. Maxima and Minima
  37. Application of Derivatives Handwritten Notes
  38. Double Integral
  39. Continuous Integration
  40. Properties of Definite Integral
  41. Line Integral
  42. Integrals of Particular Function
  43. Integrals Handwritten Notes
  44. Trapezoidal Rule
  45. Simpsons Rule
  46. Area under the curve
  47. Application of Integrals Handwritten Notes
  48. First order linear differential equations
  49. Partial differential equations
  50. Ordinary differential equations
  51. Homogeneous differential equations
  52. Differential Equation Handwritten Notes
  53. Types of Vectors
  54. Addition of Vectors
  55. Negative of a Vector
  56. Triangle law of Vector addition
  57. Magnitude of a vector
  58. Vector Equation Handwritten Notes
  59. Angle between two lines
  60. Plane
  61. Angle between line and plane
  62. Angle between two vectors
  63. Coplanarity
  64. Three dimensional geometry Handwritten Notes
  65. Optimization
  66. Graphical method of Linear Programming
  67. Linear Programming Handwritten Notes
  68. Conditional Probability
  69. Multiplication Theorem on Probability
  70. Independent Events
  71. Bayes Theorem
  72. Probability Handwritten Notes

CBSE Class 12 Mathematics Sample Papers

CBSE Class 12 Mathematics Sample Papers
CBSE Class 12 Mathematics Sample Paper 2021-22 
CBSE Class 12 Mathematics Sample Paper 2020-21
CBSE Class 12 Mathematics Sample Paper 2019-20
CBSE Class 12 Mathematics Sample Paper 2018-19
CBSE Class 12 Mathematics Sample Paper 2017-18
CBSE Class 12 Mathematics Sample Paper 2016-17
CBSE Class 12 Mathematics Sample Paper 2015-16

Also check:

Class 11 & 12 PCMB Study Guides
Important Formulas in Maths Difference between topics in maths SI units in Physics
Topics for Comparison in Physics Choice based questions in physics Important Physics Constants and Units
Class 12 Biology Notes​ Formulas in Physics NCERT Solutions for Class 11 Maths
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CBSE CLASS XII Related Questions

1.
If A'= \(\begin{bmatrix} 3 & 4 \\ -1 & 2 \\ 0 &1 \end{bmatrix}\)\(\begin{bmatrix}  -1 & 2 & 1 \\ 1 &2 & 3\end{bmatrix}\) , then verify that 
(i) \((A+B)'=A'+B' \)
(ii) \((A-B)'=A'-B'\)

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      2.

      If A=\(\begin{bmatrix}2&-1&1\\-1&2&-1\\1&-1&2\end{bmatrix}\)verify that A3-6A2+9A-4 I=0 and hence find A-1 

          View Solution

          3.

           If \(\frac{d}{dx}f(x) = 4x^3-\frac{3}{x^4}\) such that \(f(2)=0\), then \(f(x)\) is

            • \(x^4+\frac{1}{x^3}-\frac{129}{8}\)

            • \(x^3+\frac{1}{x^4}+\frac{129}{8}\)

            • \(x^4+\frac{1}{x^3}+\frac{129}{8}\)

            • \(x^3+\frac{1}{x^4}-\frac{129}{8}\)

            View Solution

            4.
            Find the inverse of each of the matrices,if it exists \(\begin{bmatrix} 2 & 1 \\ 7 & 4  \end{bmatrix}\)

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                5.
                Find the vector and the cartesian equations of the lines that pass through the origin and(5,-2,3).

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                    6.
                    For what values of x,\(\begin{bmatrix} 1 & 2 & 1 \end{bmatrix}\)\(\begin{bmatrix} 1 & 2 & 0\\ 2 & 0 & 1 \\1&0&2 \end{bmatrix}\)\(\begin{bmatrix} 0 \\2\\x\end{bmatrix}\)=O?

                        View Solution
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                        CBSE CLASS XII Previous Year Papers

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