PDF chapter test TRY NOW
Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| Number 1. | Name Introduction | Description To recall the concept of circles and tangents. |
| Number 2. | Name Tangent to a circle | Description To learn what is a tangent and its real life examples. |
| Number 3. | Name Theorem 1 on circles and tangents | Description To learn and understand the theorem based on the relation between the radius of the circles and the tangent. |
| Number 4. | Name Number of tangents from a point to a circle | Description To learn and understand how many tangents can be drawn to a circle from a point. |
| Number 5. | Name Theorem 2 on circles and tangents | Description To learn and understand the results on circles and tangents. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Find the radius of the circle | Type 2nd type - interpretation | Difficulty easy | Marks 2 m. | Description To find the radius of the circle using the results on tangent to the circle. |
| Number 2. | Name Find the value of 'x' | Type 2nd type - interpretation | Difficulty easy | Marks 2 m. | Description To find the value of 'x' from the given figure. |
| Number 3. | Name Find the length as directed | Type 1st type - receptive | Difficulty easy | Marks 2 m. | Description To find the length of the tangent from the measurements provided. |
| Number 4. | Name Find the length | Type 1st type - receptive | Difficulty easy | Marks 2 m. | Description To find the given length using the property of the tangent to the circle. |
| Number 5. | Name Find the angle between the radii | Type 2nd type - interpretation | Difficulty easy | Marks 2 m. | Description To find the angle between the radii using the given information. |
| Number 6. | Name Find the angle 'b' | Type 2nd type - interpretation | Difficulty easy | Marks 3 m. | Description To find the measure of the angle 'b' using the property of tangent. |
| Number 7. | Name Find the length of the segment | Type 2nd type - interpretation | Difficulty easy | Marks 2 m. | Description To find the length of the required segment using the property of tangents. |
| Number 8. | Name Find the angles '1' and '2' | Type 2nd type - interpretation | Difficulty medium | Marks 3 m. | Description To find the angles '1' and '2' from the given data. |
| Number 9. | Name Find the length of the tangent | Type 2nd type - interpretation | Difficulty medium | Marks 3 m. | Description To find the length of the tangent using the using result of the tangent on a circle. |
| Number 10. | Name Find the value of 'y' | Type 2nd type - interpretation | Difficulty medium | Marks 3 m. | Description To find the value of 'y' from the given figure. |
| Number 11. | Name Find the unknown angle | Type 2nd type - interpretation | Difficulty medium | Marks 3 m. | Description To find the unknown angle using the given information. |
| Number 12. | Name Find the length of the chord | Type 2nd type - interpretation | Difficulty medium | Marks 3 m. | Description To find the length of the chord using the using result of the tangent on a circle. |
| Number 13. | Name Find the radius of the larger circle | Type 2nd type - interpretation | Difficulty medium | Marks 3 m. | Description To find the radius of the larger circle using the result of the tangent on a circle. |
| Number 14. | Name Find the angle | Type 2nd type - interpretation | Difficulty medium | Marks 3 m. | Description To find the unknown angle from the data provided. |
| Number 15. | Name Find the required length | Type 2nd type - interpretation | Difficulty medium | Marks 3 m. | Description To find the required length using the trigonometric property. |
| Number 16. | Name Find the value of 'x', 'y' and 'z' | Type 3rd type - analysis | Difficulty hard | Marks 6 m. | Description To find the value of 'x', 'y' and 'z' from the measurements provided. |
| Number 17. | Name Find the length of the required tangent | Type 3rd type - analysis | Difficulty hard | Marks 4 m. | Description To find the length of the tangent using the using result of the tangent on a circle. |
| Number 18. | Name Prove that the angles in the alternate segments are equal | Type 3rd type - analysis | Difficulty hard | Marks 5 m. | Description To prove that the angles in the alternate segments are equal using the given figure. |
| Number 19. | Name Find the unknown angle 'y' | Type 3rd type - analysis | Difficulty hard | Marks 4 m. | Description To find the value of the unknown angle 'y' from the given figure using the property of tangent. |
| Number 20. | Name Understand the figure and answer the following | Type 3rd type - analysis | Difficulty hard | Marks 5 m. | Description To understand the figure and answer the given questions from the measurements provided. |
| Number 21. | Name Find the required angle | Type 3rd type - analysis | Difficulty hard | Marks 4 m. | Description To find the required angle in the figure using the given data. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Prove the common tangents are equal | Type Other | Difficulty easy | Marks 2 m. | Description To prove the common tangents shown in the figure are equal using the property of tangents. |
| Number 2. | Name Determine the length | Type Other | Difficulty easy | Marks 2 m. | Description To determine the required length using the trigonometric property. |
| Number 3. | Name Find the length of the chord | Type Other | Difficulty medium | Marks 3 m. | Description To find the length of the chord from the given figure using the property of tangents. |
| Number 4. | Name Sketch the figure and prove the statement | Type Other | Difficulty medium | Marks 3 m. | Description To prove the given statement using the tangent property of a circle. |
| Number 5. | Name Prove the statement | Type Other | Difficulty hard | Marks 4 m. | Description To prove the given statement using the tangent property of a circle. |
| Number 6. | Name Radius of the circle | Type Other | Difficulty easy | Marks 1 m. | Description To find the radius of the circle using the results on tangent to the circle. |
| Number 7. | Name Tangent to a circle | Type Other | Difficulty easy | Marks 2 m. | Description To find the value of 'x' from the given figure. |
Tests
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Training test I | Recomended time: 00:20:00 | Difficulty medium | Marks 10 m. | Description |
| Number 2. | Name Training test II | Recomended time: 00:20:00 | Difficulty medium | Marks 10 m. | Description |
| Number 3. | Name Training test III | Recomended time: 00:15:00 | Difficulty medium | Marks 8 m. | Description |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Homework I | Recomended time: 00:25:00 | Difficulty hard | Marks 9 m. | Description |
| Number 2. | Name Homework II | Recomended time: 00:25:00 | Difficulty hard | Marks 14 m. | Description |
| Number 3. | Name Progress test I | Recomended time: 00:30:00 | Difficulty hard | Marks 14 m. | Description |
| Number 4. | Name Progress test II | Recomended time: 00:30:00 | Difficulty hard | Marks 16 m. | Description |
| Number 5. | Name Periodic Assessment | Recomended time: 00:15:00 | Difficulty medium | Marks 4 m. | Description PA 2 |
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