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SSC CHSL 2024 PYQ — Question 51

SSC CHSL - 10 July 2024 - Shift 1 • Quantitative Aptitude • Q51

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R wishes to use a stick of length 6 units as the common internal tangent to two circles of radius two units and three units. What can be the maximum distance (in units) between the centres of the circle?

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 61\sqrt{61}.

Length L of the common internal tangent of two circles = d2−(r1+r2)2\sqrt{d^2-(r_1+r_2)^2}

⇒ 6 = d2−(2+3)2\sqrt{d^2-(2+3)^2}

⇒ 36 = d2 - 25

⇒ d = 61\sqrt{61}