In the given figure, O is the center of the circle, PA is tangent and PBC is secant. If ∠ABC = 60°; ∠P is :

1. 30°

2. 60°

3. 120°

4. 90°

In the given figure, diameter AB and chord CD of a circle meet at P. PT is a tangent to the circle at T. CD = 7.8 cm, PD = 5 cm, PB = 4 cm. Find :

(i) AB

(ii) the length of tangent PT.

If ∠PAC : ∠PCA = 4 : 5, ∠P is :

1. 40°

2. 60°

3. 105°

4. 45°

AC is a tangent to the given circle which touches the circle at point B. If ∠EBC = 45°; angle EDB is equal to :

1. 45°

2. 90°

3. 125°

4. 135°