MH Std 10 Mathematics -2

01 Similarity
10 Topics
Triangle and its Properties
The Ratio of Areas of Two Triangles
Properties of The Ratio of Areas of Two Triangles
Solved Examples on Ratios of Areas of Two Triangles
Basic Proportionality Theorem (B.P.T) / Thales’ Theorem
Basic Proportionality Theorem: Examples
Applications of B.P.T : Angle Bisector of a Triangle
Applications of B.P.T : Intercepts Made by Parallel Lines on a Transversal
Similarity of Triangles
Ratio of Areas of Similar Triangles
02 Pythagoras Theorem
7 Topics
Theorem On 30°- 60°- 90° Triangle
Theorem of 45°- 45°- 90° Triangle
Similarity of Right Angled Triangles
Pythagoras Theorem
Solved Examples on Pythagoras Theorem
Applications of Pythagoras Theorem
Apollonius Theorem
03 Circle
15 Topics
Angle Between Tangent and Radius
Tangent to a Circle from External Point
Solved Examples on Tangent and It’s Properties
Touching Circles
Arc of Circle
Angle Subtended by an Arc
Inscribed Angle Theorem: Conclusions and Examples
Cyclic Quadrilateral and it’s Properties: Part 1
Cyclic Quadrilateral and it’s Properties : Part 2
Tangent Secant Theorem
Angles in Alternate Segments
Intersecting Secants – Property I
Intersecting Secants – Property II
Examples on Angles in Alternate Segments and Properties of Intersecting Secants
Tangent and its Properties
04 Geometric Constructions
5 Topics
Revision of Basic Construction – 1
Revision of Basic Construction – 2
Construction of Similar Triangles: Scale factor less than 1
Construction of Similar Triangles: Scale factor greater than 1
Construction of Tangent to a Circle
05 Co-ordinate Geometry
8 Topics
Being Familiar with Coordinate Geometry
Slope of a Line
Slope of a Line Passing Through Two Points
Solved examples on Slope of a Line
Equation of a Line in Slope – Intercept form
Equation of a Line in Slope-point Form
Equation of a line in Two Point Form
Equation of a Line in Double Intercept Form
06 Trignometry
6 Topics
Trigonometric Ratios
Trigonometric Ratios of Complementary Angles
Trigonometric Identities
Solved Examples on Trigonometry
Applications of Trigonometry
Applications of Trigonometry: Examples
07 Mensuration
14 Topics
Circle: Arc, Sector, Segment -1
Circle: Arc, Sector, Segment -2
Relation between Area of Sector and the Length of the Arc
Area of Segment of a Circle
Examples on Area of Segment of a Circle
Euler’s Formula
Surface area and Volume of Cuboid
Surface Area and Volume of Cube
Surface Area and Volume of Right Circular Cylinder
Surface Area and Volume of Right Circular Cone
Surface Areas and Volume of Frustum of Cone
Surface area and Volume of Sphere and Hemisphere
Surface area and Volume of Hemisphere
Surface Areas and Volumes: Applications
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