SSC CHSL 202191)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:

Correct Option: B

8 cm

SSC CHSL 202192)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?

Correct Option: B

2√5 (2 + √13)

SSC CHSL 202193)\(\frac{775 \ \times \ 775 \ \times \ 775 \ + \ 225 \ \times \ 225 \ \times \ 225}{77.5 \ \times \ 77.5 \ + \ 22.5 \ \times \ 22.5 \ - \ 77.5 \times \ 22.5}\) is equal to:

Correct Option: A

100000

SSC CHSL 202194)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:

Correct Option: A

15 cm

SSC CHSL 202195)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 cm

^{2}) is:

Correct Option: B

60

SSC CHSL 202196)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 ?

Correct Option: D

62

SSC CHSL 202197)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.

Correct Option: D

52°

SSC CHSL 202198)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:

Correct Option: D

48 cm

SSC CHSL 202199)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:

Correct Option: D

4

SSC CHSL 2021100)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.

Correct Option: A

16.9 cm

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