Q1. Two chords

AB and AC of a circle with centre O, make equal angle with its radius OA. Then

AB and AC of a circle with centre O, make equal angle with its radius OA. Then

(a) AB = AC

(b) AB = 2AC

(c) 2AB = AC

(d) 3AB =

2AC

2AC

Q2. On the

circumference of a circle with centre O, A, B and C are points such that the

angles subtended by AB and AC at the centre O, are 85°

circumference of a circle with centre O, A, B and C are points such that the

angles subtended by AB and AC at the centre O, are 85°

and 115°

respectively. Then ∠BAC

is –

(a) 160°

(b) 100°

(c) 80°

(d) None of

these

these

Q5. The

length of a chord is equal to the length of the radius. Then the angle

subtended by the chord in the major segment of the circle.

length of a chord is equal to the length of the radius. Then the angle

subtended by the chord in the major segment of the circle.

(a) 30°

(b) 45°

(c) 60°

(d) 90°

Q6. OA and

OB are radii of a circle with centre O. ∠AOB

OB are radii of a circle with centre O. ∠AOB

*=120°*. Tangents drawn at points A and

B meet at point C. If OC divides the circle into two equal parts at point D

then point D divides the side OC in the ratio of

(a) 1 : 2

(b) 1 : 3

(c) 1 : 1

(d) 2 : 3

Q8. In a circle with centre C, PQ and RS are two parallel chords such that PQ = 8 cm and RS = 16 cm. If the chords are in the same side of the centre and distance between them is 4 cm. Find the radius of the circle.

(a) 3√2 cm

(b) 3√5 cm

(c) 4√5 cm

(d) 5√5 cm

Q11. Two

chords AB and CD of a circle interest each other at point E such that AE = 2.4

cm, BE = 3.2 cm and CE = 1.6 cm. Then length of DE is

chords AB and CD of a circle interest each other at point E such that AE = 2.4

cm, BE = 3.2 cm and CE = 1.6 cm. Then length of DE is

(a) 4.8 cm

(b) 6.4 cm

(c) 1.6 cm

(d) 3.2 cm