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SSC CHSL 2024 PYQ — Question 74

SSC CHSL - 10 July 2024 - Shift 1 • Quantitative Aptitude • Q74

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The radii of the two circles are 7 cm and 4 cm. If the distance between their centres is 25 cm, then the length of the transverse common tangent is equal to:

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 6146\sqrt{14}.

L=d2−(r1+r2)2L = \sqrt{d^2 - (r_1 + r_2)^2}

 

⇒ L=252−(7+4)2L = \sqrt{25^2 - (7 + 4)^2}  

⇒ L=252−(121)L = \sqrt{25^2 - (121)}

⇒ L=625−(121)L = \sqrt{625 - (121)}

⇒ L=504L = \sqrt504

⇒ L=614L = 6\sqrt{14} cm