Multiple Choice Questions on Two circle touch externally The sum of their areas is 169 pi and the distance between their centres ........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

Two circle touch externally The sum of their areas is 169 pi and the distance between their centres ...........

Quantitative Aptitude ( CCS) Mensuration 2D
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    Two circle touch externally. The sum of their areas is 169π and the distance between their centres is 17 cm. The radius of the circles are :

    10cm, 4cm

    Incorrect Answer
    12cm, 5cm
    Correct Answer
    15cm, 8cm
    Incorrect Answer

    8cm, 4cm

    Incorrect Answer
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    Explanation:

    Let the radius of the circles be x, 17-x
    Sum of the area = π x2 + π (17-x) 2
    π x2 + π (17-x) 2 = 169π
    2πx2-34πx+120π = 0
    x2-17x+60 = 0
    x = 12 or 5.
    Radius = 12cm, 5cm.

    By: Amit Kumar
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