Maths 10th Std

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Maths 10th Std

Chapter 1: Relation and Function


=> Introduction
=> Ordered Pair
=> Cartesian Product
=> Cartesian Product of three Set
=> Exercise 1.1: Cartesian Product
=> Relations
=> Exercise 1.2: Relations
=> Functions
=> Exercise 1.3: Functions
=> Representation of Functions
=> Types of Functions
=> Special cases of function
=> Exercise 1.4: Types of Functions
=> Composition of Functions
=> Identifying the graphs of Linear, Quadratic, Cubic and Reciprocal functions
=> Exercise 1.5: Composition of Functions
=> Multiple choice questions
=> Exercise: Relation and Function
=> Points to Remember

Chapter 2: Numbers and Sequences


=> Introduction
=> Euclid’s Division Lemma
=> Euclid’s Division Algorithm
=> Exercise 2.1: Euclid’s Division Algorithm
=> Fundamental Theorem of Arithmetic
=> Exercise 2.2: Fundamental Theorem of Arithmetic
=> Modular Arithmetic
=> Exercise 2.3: Modular Arithmetic
=> Sequences
=> Exercise 2.4: Sequences
=> Arithmetic Progression
=> Exercise 2.5: Arithmetic Progression
=> Series: Sum to n terms of an A.P.(Arithmetic Progression)
=> Exercise 2.6: Series: Sum to n terms of an A.P.(Arithmetic Progression)
=> Geometric Progression
=> Exercise 2.7: Geometric Progression
=> Sum to n/infinite terms of a G.P.(Geometric Progression)
=> Exercise 2.8: Sum to n/infinite terms of a G.P.(Geometric Progression)
=> Special Series
=> Exercise 2.9: Special Series
=> Multiple choice questions
=> Exercise: Numbers and Sequences
=> Points to Remember

Chapter 3: Algebra


=> Algebra
=> Introduction, Definition
=> System of Linear Equations in Three Variables
=> Exercise 3.1: System of Linear Equations in Three Variables
=> Greatest Common Divisor (GCD) or Highest Common Factor (HCF) of Polynomials
=> Least Common Multiple (LCM) of Polynomials
=> Exercise 3.2: GCD and LCM of Polynomials
=> Relationship between LCM and GCD
=> Exercise 3.3: Relationship between LCM and GCD
=> Rational Expressions
=> Exercise 3.4: Rational Expressions
=> Operations of Rational Expressions
=> Exercise 3.5: Multiplication and Division of Rational Expressions
=> Exercise 3.6: Addition and Subtraction of Rational Expressions
=> Square Root of Polynomials
=> Exercise 3.7: Find the Square Root by Factorization Method
=> Finding the Square Root of a Polynomial by Division Method
=> Exercise 3.8: Finding the Square Root of a Polynomial by Division Method
=> Quadratic Equations
=> Exercise 3.9: Quadratic Equations
=> Solving Quadratic Equations by factorization method
=> Exercise 3.10: Solving Quadratic Equations by factorization method
=> Solving a Quadratic Equation by Completing the Square Method
=> Solving a Quadratic Equation by Formula Method
=> Exercise 3.11: Solving a Quadratic Equation by Completing the Square Method, Formula Method
=> Solving Problems Involving Quadratic Equations
=> Exercise 3.12: Solving Problems Involving Quadratic Equations
=> Nature of Roots of a Quadratic Equation
=> Exercise 3.13: Nature of Roots of a Quadratic Equation
=> The Relation between Roots and Coefficients of a Quadratic Equation
=> Exercise 3.14: The Relation between Roots and Coefficients of a Quadratic Equation
=> Quadratic Graphs
=> Exercise 3.15: Quadratic Graphs
=> Matrices
=> Order of a Matrix
=> Types of Matrices
=> Exercise 3.16: Matrix
=> Addition and subtraction of matrices
=> Multiplication of Matrix by a Scalar
=> Properties of Matrix Addition and Scalar Multiplication
=> Exercise 3.17: Operations on Matrices
=> Properties of Multiplication of Matrix
=> Exercise 3.18: Properties of Multiplication of Matrix
=> Multiple choice questions
=> Exercise: Algebra
=> Points to Remember

Chapter 4: Geometry


=> Introduction
=> Similar triangles
=> Exercise 4.1: Similarity and Similar triangles
=> Thales Theorem and Angle Bisector Theorem
=> Construction of triangle
=> Exercise 4.2: Thales Theorem and Angle Bisector Theorem
=> Pythagoras Theorem
=> Exercise 4.3: Pythagoras Theorem
=> Circles and Tangents
=> Construction of tangents to a circle
=> Concurrency Theorems
=> Exercise 4.4: Concurrency Theorems
=> Multiple choice questions
=> Exercise: Geometry
=> Points to Remember

Chapter 5: Coordinate Geometry


=> Introduction
=> Area of a Triangle
=> Area of a Quadrilateral
=> Solved Example Problems: Area of a Triangle and Quadrilateral
=> Exercise 5.1: Area of a Triangle and Quadrilateral
=> Inclination of a line
=> Exercise 5.2: Inclination of a line
=> Straight line
=> Exercise 5.3: Straight line
=> General Form of a Straight Line
=> Exercise 5.4: General Form of a Straight Line
=> Multiple choice questions
=> Exercise: Coordinate Geometry
=> Points to Remember

Chapter 6: Trigonometry


=> Introduction
=> Trigonometric identities
=> Exercise 6.1: Trigonometric identities
=> Problems involving Angle of Elevation
=> Exercise 6.2: Problems involving Angle of Elevation
=> Problems involving Angle of Depression
=> Exercise 6.3: Problems involving Angle of Depression
=> Problems involving Angle of Elevation and Depression
=> Exercise 6.4: Problems involving Angle of Elevation and Depression
=> Multiple choice questions
=> Exercise: Trigonometry
=> Points to Remember

Chapter 7: Mensuration


=> Introduction
=> Surface Area: Right Circular Cylinder
=> Surface Area: Hollow Cylinder
=> Surface Area of Right Circular Cone
=> Surface Area: The Sphere
=> Surface Area: Frustum of a right circular cone
=> Exercise 7.1: Surface Area
=> Volume of a solid right circular cylinder
=> Volume of a hollow cylinder (volume of the material used)
=> Volume of a right circular cone
=> Volume of sphere/hemisphere
=> Volume of frustum of a cone
=> Exercise 7.2: Volume
=> Volume and Surface Area of Combined Solids
=> Exercise 7.3: Volume and Surface Area of Combined Solids
=> Conversion of Solids from one shape to another with no change in Volume
=> Exercise 7.4: Conversion of Solids from one shape to another with no change in Volume
=> Multiple choice questions
=> Exercise: Mensuration
=> Points to Remember

Chapter 8: Statistics And Probability


=> Introduction
=> Measures of Dispersion
=> Calculation of Standard Deviation
=> Exercise 8.1: Measures of Dispersion
=> Coefficient of Variation
=> Exercise 8.2: Coefficient of Variation
=> Probability
=> Exercise 8.3: Probability
=> Algebra of Events
=> Addition Theorem of Probability
=> Exercise 8.4: Addition Theorem of Probability
=> Multiple choice questions
=> Exercise: Statistics and Probability
=> Points to Remember



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