Circles and Tangents. Mathematics State Board, Class 10: lessons, tests, tasks.

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1.	Introduction
2.	Tangent to a circle
3.	Results 1 and 2 on circles and tangents
4.	Result 3 on circles and tangents
5.	Result 4 on circles and tangents
6.	Result 5 on circles and tangents
7.	Result 6 on circles and tangents
8.	Alternate Segment Theorem
9.	Construction of a tangent to a circle using its centre
10.	Construction of a tangent to a circle using alternate segment theorem
11.	Construction of a pair of tangents to a circle from an external point
12.	Congruency theorems

1.	Multiple choice question I Difficulty: easy	1
2.	Multiple choice question II Difficulty: easy	1
3.	Multiple choice question III Difficulty: easy	1
4.	Multiple choice question IV Difficulty: easy	1
5.	Multiple choice question V Difficulty: easy	1
6.	Two marks example problem I Difficulty: medium	2
7.	Two marks example problem II Difficulty: medium	2
8.	Two marks example problem III Difficulty: medium	2
9.	Two marks example problem IV Difficulty: medium	2
10.	Two marks exercise problem I Difficulty: medium	2
11.	Two marks exercise problem II Difficulty: medium	2
12.	Two marks exercise problem III Difficulty: medium	2
13.	Two marks exercise problem IV Difficulty: medium	2
14.	Five marks example problem I Difficulty: medium	5
15.	Five marks example problem II Difficulty: medium	10
16.	Five marks exercise problem III Difficulty: hard	5
17.	Five marks exercise problem IV Difficulty: hard	5
18.	Five marks exercise problem V Difficulty: hard	5
19.	Five marks exercise problem VI Difficulty: hard	5
20.	Five marks exercise problem VII Difficulty: hard	5
21.	Five marks exercise problem VIII Difficulty: hard	5
22.	Five marks exercise problem IX Difficulty: hard	5
23.	Five marks exercise problem X Difficulty: hard	5
24.	Five marks exercise problem XI Difficulty: hard	5
25.	Eight mark example problem I Difficulty: hard	8
26.	Eight mark example problem II Difficulty: hard	8
27.	Eight mark example problem III Difficulty: hard	8
28.	Eight mark exercise problem I Difficulty: hard	8
29.	Eight mark exercise problem II Difficulty: hard	8
30.	Eight mark exercise problem III Difficulty: hard	8
31.	Eight mark exercise problem IV Difficulty: hard	4
32.	Eight mark exercise problem V Difficulty: hard	8
33.	Eight mark exercise problem VI Difficulty: hard	8

1.	Find the value of 'x' Difficulty: easy	1
2.	Find the length as directed Difficulty: easy	2
3.	Find the sides of an equilateral triangle Difficulty: easy	2
4.	Find the length Difficulty: easy	2
5.	Find the length of the tangent Difficulty: medium	3
6.	Find the unknown angle Difficulty: medium	3
7.	Find the radius of the larger circle Difficulty: medium	3
8.	Find the angle Difficulty: medium	3
9.	Find the length of the left out portion Difficulty: medium	3
10.	Find the value of 'x', 'y' and 'z' Difficulty: hard	6
11.	Find the length of the required tangent Difficulty: hard	4
12.	Find the value of 'x' and 'y' Difficulty: hard	4

1.	Find the length of BC Difficulty: medium	2
2.	Find AD, BE and CF Difficulty: hard	5
3.	Determine the radius of the circle Difficulty: hard	5

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Circles and Tangents

Theory

Textbook Questions

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