ABCD passes through the centres of the three circles as show

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SSC CGL Tier-2 9-March-2018 Maths-shift-1
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MATH

38

M: +3.00/-0.00

ABCD passes through the centres of the three circles as shown in the figure. AB = 2 cm and CD = 1 cm. If the area of middle circle is the average of the areas of the other two circles, then what is the length (in cm) of BC?

SEE IMAGE

[SSC CGL Tier-2 9-March-2018 Maths-shift-1]

A (√6) - 1

B (√6) + 1

C (√6) - 3

D (√6) + 3