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SSC CGL 2025 PYQ — Question 54

SSC CGL - 15 Sep 2025 - Shift 1 • Quantitative Aptitude • Q54

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Two circles have radii of 10 cm and 6 cm. If the length of a direct common tangent between them is 16 cm, what is the distance between their centers?

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 4174\sqrt{17} cm.

Length of direct common tangent, L = d2−(r1−r2)2\sqrt{d^2 - (r_1 - r_2)^2}

⇒ L2 = d2 - (r1 - r2)2

⇒ 162 = d2 - (10 - 6)2

⇒ d2 = 256 + 16

⇒ d2 = 272

⇒ d = 4174\sqrt{17}