Q1. ABCD is a cyclic parallelogram. The angle ∠B is equal to:

(a) 30°

(b) 60°

(c) 45°

(d) 90°

Q2. The length of two chords AB and AC of a circle are 8 cm and 6 cm and ∠BAC = 90°, then the radius of circle is

(a) 25 cm

(b) 20 cm

(c) 4 cm

(d) 5 cm

Q3. If a chord of length 16 cm is at a distance of 15 cm from the centre of the circle, then the length of the chord of the same circle which is at a distance of 8 cm from the centre is equal to

(a) 10 cm

(b) 20 cm

(c) 30 cm

(d) 40 cm

Q4. Two circles touch each other externally at point A and PQ is a direct common tangent which touches the circles at P and Q respectively. Then ∠PAQ =?

(a) 45°

(b) 90°

(c) 80°

(d) 100°

Q5. AB is a chord to a circle and PAT is the tangent to the circle at A. If ∠BAT = 75° and ∠BAC = 45°, C being a point on the circle, then ∠ABC is equal to

(a) 40°

(b) 45°

(c) 60°

(d) 70°

Q6. O is the centre of a circle and arc ABC subtends an angle of 130° at O. AB is extended to P. Then ∠PBC is

(a) 75°

(b) 70°

(c) 65°

(d) 80°

Q7. If I is the incentre of ∆ABC and ∠BIC = 135°, then ∆ABC is

(a) acute angled

(b) equilateral

(c) right angled

(d) obtuse angled