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Methodical recommendation:

Theory

Number Name Description
1. Introduction To recall the concept of circles and tangents.
2. Tangent to a circle To learn what is a tangent and its real life examples.
3. Theorem 1 on circles and tangents To learn and understand the theorem based on the relation between the radius of the circles and the tangent.
4. Number of tangents from a point to a circle To learn and understand how many tangents can be drawn to a circle from a point.
5. Theorem 2 on circles and tangents To learn and understand the results on circles and tangents.

Practice Questions

Number Name Type Difficulty Marks Description
1. Find the radius of the circle 2nd type - interpretation easy 2 m. To find the radius of the circle using the results on tangent to the circle.
2. Find the value of 'x' 2nd type - interpretation easy 2 m. To find the value of 'x' from the given figure.
3. Find the length as directed 1st type - receptive easy 2 m. To find the length of the tangent from the measurements provided.
4. Find the length 1st type - receptive easy 2 m. To find the given length using the property of the tangent to the circle.
5. Find the angle between the radii 2nd type - interpretation easy 2 m. To find the angle between the radii using the given information.
6. Find the angle 'b' 2nd type - interpretation easy 3 m. To find the measure of the angle 'b' using the property of tangent.
7. Find the length of the segment 2nd type - interpretation easy 2 m. To find the length of the required segment using the property of tangents.
8. Find the angles '1' and '2' 2nd type - interpretation medium 3 m. To find the angles '1' and '2' from the given data.
9. Find the length of the tangent 2nd type - interpretation medium 3 m. To find the length of the tangent using the using result of the tangent on a circle.
10. Find the value of 'y' 2nd type - interpretation medium 3 m. To find the value of 'y' from the given figure.
11. Find the unknown angle 2nd type - interpretation medium 3 m. To find the unknown angle using the given information.
12. Find the length of the chord 2nd type - interpretation medium 3 m. To find the length of the chord using the using result of the tangent on a circle.
13. Find the radius of the larger circle 2nd type - interpretation medium 3 m. To find the radius of the larger circle using the result of the tangent on a circle.
14. Find the angle 2nd type - interpretation medium 3 m. To find the unknown angle from the data provided.
15. Find the required length 2nd type - interpretation medium 3 m. To find the required length using the trigonometric property.
16. Find the value of 'x', 'y' and 'z' 3rd type - analysis hard 6 m. To find the value of 'x', 'y' and 'z' from the measurements provided.
17. Find the length of the required tangent 3rd type - analysis hard 4 m. To find the length of the tangent using the using result of the tangent on a circle.
18. Prove that the angles in the alternate segments are equal 3rd type - analysis hard 5 m. To prove that the angles in the alternate segments are equal using the given figure.
19. Find the unknown angle 'y' 3rd type - analysis hard 4 m. To find the value of the unknown angle 'y' from the given figure using the property of tangent.
20. Understand the figure and answer the following 3rd type - analysis hard 5 m. To understand the figure and answer the given questions from the measurements provided.
21. Find the required angle 3rd type - analysis hard 4 m. To find the required angle in the figure using the given data.

Questions for Teacher Use

Number Name Type Difficulty Marks Description
1. Prove the common tangents are equal Other easy 2 m. To prove the common tangents shown in the figure are equal using the property of tangents.
2. Determine the length Other easy 2 m. To determine the required length using the trigonometric property.
3. Find the length of the chord Other medium 3 m. To find the length of the chord from the given figure using the property of tangents.
4. Sketch the figure and prove the statement Other medium 3 m. To prove the given statement using the tangent property of a circle.
5. Prove the statement Other hard 4 m. To prove the given statement using the tangent property of a circle.
6. Radius of the circle Other easy 1 m. To find the radius of the circle using the results on tangent to the circle.
7. Tangent to a circle Other easy 2 m. To find the value of 'x' from the given figure.

Tests

Number Name Recomended time: Difficulty Marks Description
1. Training test I 00:20:00 medium 10 m.
2. Training test II 00:20:00 medium 10 m.
3. Training test III 00:15:00 medium 8 m.

Periodic assessments

Number Name Recomended time: Difficulty Marks Description
1. Homework I 00:25:00 hard 9 m.
2. Homework II 00:25:00 hard 14 m.
3. Progress test I 00:30:00 hard 14 m.
4. Progress test II 00:30:00 hard 16 m.
5. Periodic Assessment 00:15:00 medium 4 m. PA 2