#### In the given figure, PA and PB are tangents to a circle with centre O. If ∠APB = 50°, then ∠OAB is equal to

(a) 25°

(b) 30°

(c) 40°

(d) 50°

**Solution:**

#### In the given figure, sides BC, CA and AB of ∆ABC touch a circle at point D, E and F respectively. If BD = 4 cm, DC = 3 cm and CA = 8 cm, then the length of side AB is

(a) 12 cm

(b) 11 cm

(c) 10 cm

(d) 9 cm

**Solution:**

**More Solutions:**

- A point P is 13 cm from the center of a circle.
- From a point outside a circle, with center O, tangents PA and PB are drawn.
- The figure given below shows two circles with centres A, B.
- Two circles with centers A and B touch externally.
- Two chords AB, CD of a circle intersect externally at a point P.
- Chord AB and diameter CD of a circle with centre O meet at P.