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CBSE
10th Class
MATHEMATICS (10th)
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Quadratic Equations
6
Introduction to Quadratic Equations- 1
Problems on Quadratic Equations
Quadratic Equations
5.3 Solution of a Quadratic Equation by Factorisation
5.4 Solution of a Quadratic Equation by completing the Square
5.5 Nature of Roots
Progressions
11
Introduction to Progressions
Problems on Progressions
6.2 Arithmetic Prograssions
6.2.1 What is an Arithmetic Progression
6.2.2 Parameter of a Arithmetic Progressions
6.3 nth Term of an Arithmetic Progression
6.4 Sum of First n Terms in Arithmetic Progression
6.4.1 How 'Gauss' find the sum of terms
6.4.2 Sum of n terms of an AP
6.5 Geometric Progressions
6.6 nth term of a GP
Sets
13
2.1 Introduction
2.2 Well Defined Sets
2.3 Naming of Sets and Elements of a Set
2.4 Types of Set
2.5 Using Diagrams to Represent Sets
2.6 Universal Set and Subsets
2.6.1 Equal Sets
2.7 Venn Diagrams
2.8 Basic Operations on Sets
2.8.1 Union of Sets
2.8.2 Intersection of Sets
2.8.3 Disjoint Set
2.8.4 Difference of Sets
1.Real Numbers
14
Excercise 1.1
Exercise 1.2
Exercise 1.3
1.1 Introduction
1.2 Exploring Real Numbers
1.2.1 The Fundamental Theorem of Arithmetic
1.2.2 Rational Numbers and their Decimal Expansions
1.2.3 Non-terminating, Recurring Decimals in Rational Numbers
1.3 More About Irrational Numbers
1.5.1 Exponents Revisted
1.5.2 Writing Exponents as Logarithms
1.5.3 Laws of Logarithms
1.5.4 Standard Bases of a Logarithm (Not mean for examination purpose)
1.5.5 Application of logarithms ( Not meant for examination purpose
Polynomials
12
3.1 Introduction
3.2 What are Polynomials ?
3.2.1 Degree of a Polynomial
3.2.2 Value of a Polynomial
3.3 Working with Polynomials
3.4 Geometrical Meaning of the Zeroes of a polynomial
3.4.1 Graphical representation of a linear polynomial
3.4.2 Graphical Representation of a Quadratic polynomial
3.4.3 Geometrical Meaning of Zeroes of a Cubic Polynomial
3.5 Relationship between Zeroes and Coefficients of a Polynomial
3.6 Cubic Polynomials
3.7 Division Algorith for Polynomials
Pair of Linear Equations in Two Variables
9
4.1 Introduction
4.1.1 How Do We Find Unknown Quantities?
4.1.2 Using Both Equations Together
4.2 Solutions of pairs of Linear Equations in Two Variables
4.2.1 Graphical Method of Finding Solution of a pair of Linear Equations
4.3 Algebraic Methods of Finding the Solutions For a Pair of Linear Equations
4.3.1 Substitutions Method
4.3.2 Elimination Method
4.4 Equations reducibile to a
Cordinate Geometry
13
7.1 Introduction
7.2 Distance Between Two points
7.3 Distance Between Two Points in a Line Parallel to the Coordinate Axes
7.4 Distance Between Any Two Points on a line in the x-y plane
7.5 Section Formula
7.6 Centroid of a Triangle
7.7 Trisectional Points of Line
7.8 Area of the Triangle
7.8.1 Collinearity
7.8.2 Area of a Triangle - 'Heron's Formula'
7.9 Straight Lines
7.9.1 Slope of the straight line
7.9.2 Slope of a line joining two points
Similar Triangles
12
8.1 Introduction
8.2 Similar Figures
8.3 Similarity of Triangles
8.3.1 Basic Proportionality Theorem (Thales Theorem)
8.4 Criteria for Similarity of Triangles
8.4.1 AAA Criterion for Similarity of Triangles
8.4.2 SSS Criterion for Similarity of Triangles
8.4.3 SAS Criterion for Similarity of Triangles
8.5 Areas of Similar Triangles
8.6 Pythagoras Theorem
8.6.1 Pythagoras Theorem (Baudhayan Theorem)
8.7 Different forms of theoritical statements
Tangents and Secants to a Circle
8
9.1 Introduction
9.1.1 A Line and A Circle
9.2 Tangents of a Circle
9.2.1 Construction of Tangent to a Circle
9.3 Number of tangent to a circle from any point
9.3.1 Construction of Tangents to a Circle from an External point
9.4 Segment of a circle formed by a secant
9.4.1 Finding the area of Segment of a Circle
Mensuration
4
10.1 Introduction
10.2 Surface Area of the Combination of Solids
10.3 Volume of Combination of Solids
10.4 Conversion of Solid from One Shape to Another
Trigonometry
9
11.1 Introduction
11.1.1 Naming The Sides in a Right Triangle
11.2 Trigonometric Ratios
11.2.1 Defining Trigonometric Ratios
11.3 Trigonometric Ratios of some angles
11.3.1 Trigonometric Ratios of 45 degress
11.3.2 Trigonometric Ratios of 30 and 60
11.4 Trigonometric Ratios of Complementary angles
11.5 Trigonometric Identities
Applications of Trigonometry
3
12.1 Application of Trigonometry
12.2 Drawing Figures to Solve Problems
12.3 Solution for Two Triangles
Probability
10
13.1 Introduction
13.1.1 What is Probability
13.2 Probability - A Theoretical Approach
13.3 mutually Exclusive Events
13.4.1 Finding Probability
13.4.2 Complementary Events and Probability
13.4.3 ImpossibLE and Certain Events
13.5 Deck of Cards and Probability
13.6 Use of Probability
13.7 More Application of Probability
Statistics
7
14.1 Introduction
14.2 Mean of Ungrouped Data
14.3 Mode
14.4 Median of Grouped Data
14.5 Which value of Central Tendency
14.6 Graphical Representation of Cumulative Frequency Distribution
14.6.1 Obtaining Median From give Curve
4.1 Introduction
Description
Practice Questions
Additional Notes
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