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UPSC CDS I 2025 Mathematics Paper

Question Numbers: 55-56
A circle M of radius 8 cm touches externally with another circle N of radius 16 cm. Let P, Q be the points where the common tangent touches the circles M and N respectively.

Question : 56

Total: 100

If U, V are the centres of the circles M and N respectively, then what is the area of the quadrilateral formed by the points P, Q, V and U?

$192{√{2}}$ square cm
192 square cm
$96{√{2}}$ square cm
96 square cm

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