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SSC Selection Post 2022 PYQ — Question 74

SSC Selection Post - Higher Secondary Level - 3 Aug 2022 - Shift 4 • Quantitative Aptitude • Q74

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The length of the tangent to a circle from a point P is 17 cm. Point P is 20 cm away from the centre. What is the radius of the circle?

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 111\sqrt{111} cm.

∠OTP = 90°

OT2 + PT2 = OP2

⇒ OT2 + 172 = 202

⇒ OT2 = 400 - 289 = 111

⇒ OT = √111 cm (Radius)