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SSC CGL 2023 PYQ — Question 54

SSC CGL - 24 July 2023 - Shift 3 • Quantitative Aptitude • Q54

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Two circles with radii 22 cm and 16 cm touch each other externally. The length of the direct common tangent is:

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 822 cm8\sqrt{22} \ \text{cm}.

Length of common tangent = AB = 2√(R × r) = 2√(22 × 16) = 2√352 = 8√22 cm

Therefore, the length of the common tangent between the two circles is 8√22 cm.