1.The length of tangent PQ, from an external point P is 24 cm. If the distance of the point P from the centre is 25 cm, then the diameter of the circle is

14 cm.
17 cm.
12 cm.
19 cm.

2. A tangent PQ at point of contact P to a circle of radius 12 cm meets the line through centre O to a point Q such that OQ = 20 cm, length of tangent PQ is :

16 cm
12 cm
19 cm
11 cm

3. PQ is a tangent drawn from a point P to a circle with centre O and QOR is a diameter of the circle such ∠POR = 120∘, then ∠OPQ is

4. A circle is inscribed in ΔABC having sides 8 cm, 10 cm and 12 cm as shown in the figure. Then

AD = 7 cm, BE = 4 cm.
AD = 7 cm, BE = 5 cm.
AD = 8 cm, BE = 5 cm.
AD = 10 cm, BE = 5 cm.

5. In the given figure, If TP and TQ are two tangents to a circle with centre O, so that ∠POQ = 110o then ∠PTQ is equal to

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6. A tangent PQ at a point P o a circle of radius 5 cm meets a line through the centre O at point Q, so that OQ = 12 cm. find the length PQ.

16 cm.
30 cm.
26 cm.
22 cm.

7. From a point Q, the length of tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm, radius of circle is :

11 cm
7 cm
9 cm
10 cm

8. If PA and PB are tangents to the circle with centre O such that ∠APB = 40∘, then ∠OAB is equal to


9. Quadrilateral PQRS circumscribes a circle as shown in the figure. The side of the quadrilateral which is equal to PD + QB is


10. In the given figure, the pair of tangents A to a circle with centre O are perpendicular to each other and length of each tangent is 5 cm, then the radius of the circle is :

3 cm
4 cm
5 cm
2.5 cm