In the given figure, M is the centre of the circle. Chords AB and CD are perpendicular to each other. If ∠MAD = x and ∠BAC = y :

(i) express ∠AMD in terms of x.

(ii) express ∠ABD in terms of y.

(iii) prove that : x = y.

ABCD is a trapezium with AD parallel to BC. Side BC is produced to point E and angle DCE = 95°. Angle B is equal to :

1. 85°

2. 105°

3. 95°

4. 175°

In the given figure, O is the center of the circle. ∠OAB and ∠OCB are 30° and 40° respectively. ∠AOC is equal to :

1. 70°

2. 80°

3. 150°

4. 140°

In the given figure APB and CQD are two straight lines, then :

1. AB || CD

2. AC || PQ

3. PQ || BD

4. AC || BD