In the given figure, AB, BC and CD are equal chords of a circle with centre O and AD is a diameter. If ∠DEF = 110°, find :

(i) ∠AEF

(ii) ∠FAB

In the given figure, ABCDE is a pentagon inscribed in a circle. If AB = BC = CD, ∠BCD = 110° and ∠BAE = 120°, find :

(i) ∠ABC

(ii) ∠CDE

(iii) ∠AED

(iv) ∠EAD

Assertion (A): In the figure, two congruent circles have centres O and O′.

Arc AXB subtends an angle of 60° at the centre O and arc AYB′ subtends an angle of 20° at the centre O′.

Then the ratio of arcs AXB and AY′B′ is 3 : 1.

Reason (R): Congruent arcs of a circle subtend equal angles at the centre.

1. A is true, R is false.

2. A is false, R is true.

3. Both A and R are true.

4. Both A and R are false.

Assertion (A): Two congruent circles with centre O and O′ intersect at two points A and B. Then ∠AOB = ∠AO′B.

Reason (R): If a pair of opposite sides of a cyclic quadrilateral are equal, then its diagonals bisect each other.

1. A is true, R is false.

2. A is false, R is true.

3. Both A and R are true.

4. Both A and R are false.