SSC CGL 2023 PYQ — Question 66

SSC CGL - 18 July 2023 - Shift 4 • Quantitative Aptitude • Q66

Observe the given figure. The distance between the two centers AB is

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Correct answer: C

Explanation

The correct answer is Option 3 i.e. 13 cm.

Concept:

Direct common tangent = √(distance between the two centers2 - (r1 - r2)2

Distance between the two centers is = x cm

As per the formula,

⇒ 122 = (d2 - (8 - 3)2

⇒ 144 = d2 - 25

⇒ d2 = 169

⇒ d = √169

⇒ d = 13