Assertion (A): Equal chords of a circle subtend equal angles at the centre of the circle.

Reason (R): One and only one circle can be drawn passing through three points.

1. A is true, R is false

2. A is false, R is true

3. Both A and R are true

4. Both A and R are false

Two chords of a circle of lengths 10 cm and 8 cm are at the distances of 6 cm and 5 cm respectively from the centre. This statement is :

1. True

2. False

3. Can't say anything

4. Data inadequate

In the circle, chord AB of length 12 cm is bisected by diameter CD at P, so that CP = 3 cm. Radius of the circle is:

1. 5.2 cm

2. 6.5 cm

3. 7.5 cm

4. 8.3 cm

Three friends Amit, Vinay and Sukrit are playing a game by standing on a circle of radius 5 m drawn in a park. Amit throws a ball to Vinay, Vinay to Sukrit, Sukrit to Amit. If the distance between Amit and Vinay and between Vinay and Sukrit is 6 m each, what is the distance between Amit and Sukrit?