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Year

CAT 2025

Section

Quantitative

Topic

Geometry & Mensuration

Difficulty

Hard

Question

Slot-1

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

4(3+14)4(3+\sqrt{14})

20(32+7)20(3\sqrt{2}+\sqrt{7})

20(3+14)20(3+\sqrt{14})

4(32+7)4(3\sqrt{2}+\sqrt{7})

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