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Lessons
01 Similarity
- 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
03 Circle
- 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
07 Mensuration
- 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