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SSC CHSL 2023 PYQ — Question 73

SSC CHSL - 09 Aug 2023 - Shift 3 • Quantitative Aptitude • Q73

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Find the length of a tangent drawn to a circle with radius 8 cm from a point 17 cm from the centre of the circle.

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 15 cm.

According to the given question,

Let O be the center of the circle.

Now, OB2 + AB2 = OA2

⇒ 82 + AB2 = 172

⇒ AB2 = 289 - 64

⇒ AB2 = 225

⇒ AB = 15 cm