SSC CPO 20201)A circle is inscribed in a triangle ABC. It touches sides AB, BC and AC at points R, P and Q, respectively. If AQ = 3.5 cm, PC = 4.5 cm and BR = 7 cm, then the perimeter (in cm) of the triangle ΔABC is:

Correct Option: D

30

SSC CPO 20202)PA and PB are two tangents from a point P outside the circle with centre O. If A and B are points on the circle such that ∠APB = 128°, then ∠OAB is equal to:

Correct Option: B

64°

SSC CPO 20203)In a ΔABC, the bisectors of ∠B and ∠C meet at O. If ∠BOC = 142°, then the measure of ∠A is:

Correct Option: D

104°

SSC CPO 20204)PA and PB are two tangents from a point P outside the circle with centre O. If A and B are points on the circle such that∠APB = 100°, then∠OAB is equal to:

Correct Option: C

50°

SSC CPO 20205)PA and PB are two tangents from a point P outside the circle with center O at the point A and B on it. If ∠APB = 130°, then ∠OAB is equal to:

Correct Option: B

65°

SSC CPO 20206)Chord AB of a circle is produced to a point P, and C is a point on the circle such that PC is a tangent to the circle. If PC = 12 cm, and BP = 10 cm, then the length of AB (in cm) is:

Correct Option: A

4.4

SSC CPO 20207)PA and PB are two tangents from a point P outside the circle with centre O. If A and B are points on the circle such that ∠APB = 142°, then ∠OAB is equal to:

Correct Option: D

71°

SSC CPO 20208)In a circle with centre O, AD is a diameter and AC is a chord. Point B is on AC such that OB = 7 cm and ∠OBA = 60°, If ∠DOC = 60°, then what is the length of BC?

Correct Option: A

7 cm

SSC CPO 20209)The circles of radii 15 cm and 10 cm intersect each other and the length of their common chord is 16 cm. What is the distance (in cm) between their centres?

Correct Option: A

\(6 + \sqrt {161}\)

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