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##### objective Ques (161 results)
91)

If the length of a chord of a circle, that makes an angle of 60° with the tangent drawn at one end point of the chord, is 8√3 cm, then the radius of the circle will be:

SSC CHSL 2021
A)

6 cm

B)

8 cm

C)

7 cm

D)

5 cm

92)

Two circles of radii 18 cm and 12 cm interest each other and the length of their common chord is 16 cm. What is the distance (in cm) between their centres?

SSC CHSL 2021
A)

2√5 (4 + √13)

B)

2√5 (2 + √13)

C)

2√5 (-2 + √13)

D)

2√5 (4 - √13)

93)

$$\frac{775 \ \times \ 775 \ \times \ 775 \ + \ 225 \ \times \ 225 \ \times \ 225}{77.5 \ \times \ 77.5 \ + \ 22.5 \ \times \ 22.5 \ - \ 77.5 \times \ 22.5}$$ is equal to:

SSC CHSL 2021
A)

100000

B)

10000

C)

0.1

D)

100

94)

A 9-cm-long perpendicular is drawn from the centre of circle to a chord of length 24 cm. The radius of the circle is:

SSC CHSL 2021
A)

15 cm

B)

20 cm

C)

12 cm

D)

18 cm

95)

From a point P, which is at a distance of 13 cm from the centre O of a circle, a pair of tangents PQ and PR of length 12 cm are drawn to the circle. The area of the quadrilateral PQOR (in cm2) is:

SSC CHSL 2021
A)

76

B)

60

C)

50

D)

80

96)

A, B and C are three points on a circle whose centre is O. If angle BOC is equal to 124°, then what is the value (in degrees) of angle BAC ?

SSC CHSL 2021
A)

72

B)

66

C)

34

D)

62

97)

Line AC is a tangent to a circle at point B on it, and PQ is a chord of the circle such that BP = BQ. If ∠ABP = 64°, then find the measure of ∠PBQ.

SSC CHSL 2021
A)

64°

B)

32°

C)

58°

D)

52°

98)

Two parallel chords are drawn in a circle of diameter 50 cm on the opposite sides of its centre. The length of one chord is 40 cm and the distance between the two chords is 22 cm. The length of the other chord is:

SSC CHSL 2021
A)

46 cm

B)

44 cm

C)

50 cm

D)

48 cm

99)

Chords AB and CD of a circle meet at point P (outside the circle), when produced. If AB = 9 cm, PB = $$\frac{1}{3}$$AB and CD = 5 cm, then the length of PD (in cm ) is:

SSC CHSL 2021
A)

6

B)

5

C)

7

D)

4

100)

In a circle with centre O and radius 6.5 cm, a chord AB is at a distance 2.5 cm from the centre. If tangents at A and B intersect at P, then find the distance of P from the centre.

SSC CHSL 2021
A)

16.9 cm

B)

15 cm

C)

17 cm

D)

18 cm

showing 91 - 100 results of 161 results

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