MH Std 10 Mathematics -2

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

15 Topics

Angle Between Tangent and Radius

Tangent to a Circle from External Point

Solved Examples on Tangent and It’s Properties

Touching Circles

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

6 Topics

Trigonometric Ratios

Trigonometric Ratios of Complementary Angles

Trigonometric Identities

Solved Examples on Trigonometry

Applications of Trigonometry

Applications of Trigonometry: Examples

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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Angle Between Tangent and Radius

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Angle Between Tangent and Radius

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