Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Congruency theorems | To learn the congruency theorems based on a triangle. |
| 2. | Construction of a tangent to a circle using its centre | To learn how to construct a tangent to a circle using its centre. |
| 3. | Construction of a tangent to a circle using alternate segment theorem | To learn how to construct a tangent to a circle using alternate segment theorem. |
| 4. | Construction of a pair of tangents to a circle from an external point | To learn how to construct a pair of tangents to a circle from an external point of the circle. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the length of the left out portion | Other | medium | 3 m. | To find the length of the left out portion using the congruency theorem based on a triangle. |
| 2. | Find the value of 'x' and 'y' | Other | hard | 4 m. | To find the length of the left out portion using the congruency theorem based on a triangle. |
| 3. | Five marks exercise problem VII | Other | hard | 5 m. | Try to answer the questions using the properties of circle and tangents. |
| 4. | Five marks exercise problem X | Other | hard | 5 m. | To prove the given statement using Ceva's theorem. |
| 5. | Five marks exercise problem XI | Other | hard | 5 m. | To prove the given statement using Ceva's theorem. |
| 6. | Eight mark example problem I | Other | hard | 8 m. | Try to construct a tangent to a circle using the centre. |