In the following figure, the line ABCD is perpendicular to PQ; where P and Q are the centers of the circles. Show that :

(i) AB = CD

(ii) AC = BD

In the given figure, arc APB = arc CQD, then :

1. AB = CD

2. AB > CD

3. AB < CD

4. none of the above

In a circle, O is its center and AB, CD are its two chords. If AB : CD = 3 : 2, then ratio between ∠AOB and ∠COD is :

1. 1 : 1

2. 3 : 2

3. 2 : 5

4. 3 : 5

In the given figure, O is the center of the circle and ABC is an equilateral triangle, then ∠AOB is equal to :

1. 105°

2. 90°

3. 60°

4. 120°