CAT 2025 Geometry & Mensuration — Previous Year Question

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