1. If angle between two radii of a circle is 130º, then the angle between the tangents at the ends of the radii is

2. The length of tangent from an external point P on a circle with centre O is

3. Three circles touch each other externally. The distance between their centres is 5 cm, 6cm and 7 cm. Find the radii of the circles.

4. A point P is 13 cm from the centre of the circle. The length of the tangent drawn from P to the circle is 12cm. Find the radius of the circle.

5. In the adjoining figure ‘O’ is the center of circle, ∠CAO = 25° and ∠CBO = 35°. What is the value of ∠AOB?

6. In the following figure, if O is the centre of a circle, PQ is a chord and the tangent PR at P makes an angle of 50° with PQ, then ∠POQ is equal to

7. In the following figure, PA and PB are tangents from a point P to a circle with centre O. Then the quadrilateral OAPB must be a

8. ABCD is a cyclic quadrilateral PQ is a tangent at B. If ∠DBQ = 65°, then ∠BCD is

9. In a circle of radius 5 cm, AB and AC are the two chords such that AB = AC = 6 cm. Find the length of the chord BC

10. A tangent PQ at a point P of a circle of radius 5 cm meets a line through the center O at a point Q such that OQ =13 cm. Length PQ is: