In a circle with center C and radius 6 \sqrt{2} \mathrm{~cm}, P Q and S R are two parallel chords separated by one of the diameters. If \angle P Q C=45^{\circ}, and the ratio of the perpendicular distance of P Q and S R from C is 3: 2, then the area, in sq. cm , of the quadrilateral P Q R S is

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CAT 2025 Slot 1 QA · Question 12

In a circle with center $C$ and radius $62 cm, P Q$ and $S R$ are two parallel chords separated by one of the diameters. If $∠ P QC = 4 5^{\circ}$ , and the ratio of the perpendicular distance of $P Q$ and $S R$ from $C$ is $3 : 2$ , then the area, in sq. cm , of the quadrilateral $P QR S$ is

A.
$4 (3 + 14)$
B.
$20 (32 + 7)$
C.
$20 (3 + 14)$
D.
$4 (32 + 7)$

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