CBSE 10 Mathematics

01 Real Numbers
6 Topics | 1 Quiz
1.1 Euclid division lemma
1.1 Euclid division lemma – Test
1.2 Euclid division Algorithm
1.3 The Fundamental Theorem of Arithmetic
1.4 Theorem: If p divides a2, then p divides a ; Theorem: root 2 is irrational
1.5 Revisiting rational numbers and their decimal expansion & theorem 1.5
1.6 Theorem 1.7 (Non-terminating decimal expansion)
02 Polynomials
3 Topics
2.1 Introduction
Geometric meaning of zeros of a polynomial
Division algorithm for Polynomials
03 Pair of Linear Equations in Two Variables
6 Topics
3.1 Introduction
3.2 Graphical Method of solving a pair of linear equations
3.3. Algebric Method of solving a pair of linear equations : substitution method
3.4 Algebric Method of solving a pair of linear equations 2. Ellimination method
3.5 Algebric Method of solving a pair of linear equations 3. Cross Multiplication method
3.6 Equations reducible to pair of linear equations in two variables
04 Quadratic Equations
4 Topics
4.1 Quadratic Equations
4.2 Solution by factorisation
4.3 Solution by completing the square
4.4 Nature of Roots
05 Arithmetic Progressions
3 Topics
5.1 Arithmetic Progressions
5.2 nth Term of an AP
5.3 Sum of First n Terms of an AP
06 Triangles
14 Topics
6.01 Similar Figures
6.02 Similarity of Triangles
6.03 Theorem 6.2 : Converse of BPT
6.04 Criteria for Similarity of Triangles
6.05 – SSS (Side–Side– Side) similarity criterion for two triangles
6.06 – SAS (Side–Angle– Side) similarity criterion for two triangles
6.07 Areas of Similar Triangles
6.08 Theorem 6.7
6.09 Pythagoras Theorem
6.10 Converse of Pythagoras Theorem
6.11 Examples on Criteria for Similarity of Triangles
6.12 Example on Areas of Similar Triangles
6.13 – Example on theorems
6.14 Example on Converse of Pythagoras Theorem
07 Coordinate Geometry
5 Topics
7.1 – Coordinate Geometry
7.2 – Distance Formula
7.3 – Section Formula
7.4 – Section Formula for midpoint
7.5 Area of a Triangle
08 Introduction to Trigonometry
8 Topics
8.1 Introduction to Trigonometry
8.2 Trigonometric Ratios
8.3 Important observations of trigonometric Identities
8.4 Trigonometric Ratios of Some Specific Angles
8.5 Trigonometric ratios of 30°and 60°
8.6 Trigonometric Ratios of 0° and 90°
8.7 Trigonometric Ratios of Complementary Angles
8.8 Trigonometric Identities
09 Some Applications of Trigonometry
1 Topic
9.1 Some applications of Trigonometry
10 Circles
4 Topics
10.1 Circles
10.2 Tangent to the circle
10.3 Number of Tangents from a Point on a Circle
10.4 Tangents from External points are equal
11 Constructions
5 Topics
11.1 Division of a Line Segment
11.2 Division of a Line Segment: Alternate Method
11.3 Construction of Similar Triangle – 1
11.4 Construction of Similar Triangle – 2
11.5 Construction of tangent to the Circle
12 Areas Related to Circles
3 Topics
12.1 Areas related to Circles
12.2 Areas of Sector and Segment of Circle
12.3 Areas of Combination of Plane Figures
13 Surface Areas and Volumes
4 Topics
13.1 Surface Areas and Volumes
13.2 Surface area of combination of solid
13.3 Volume of Combination of Solids
13.4 Frustum of Cone
14 Statistics
8 Topics
14.1 Introduction to Statistics
14.2 Mean of Grouped Data – Direct Method
14.3 Mean of Grouped Data – Assumed Mean Method
14.4 Mean of Grouped Data – Step Deviation Method
14.5 Mode of Grouped data
14.6 Median of Grouped Data
14.7 Graphical Presentation of Cumulative Frequency Distribution -1
14.8 Graphical Presentation of Cumulative Frequency Distribution -2
15 Probability
2 Topics
15.1 Probability – 1
15.2 Probability – 2
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6.10 Converse of Pythagoras Theorem

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6.10 Converse of Pythagoras Theorem


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