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CAT 2025 Set-1 | Quantitative Aptitude | Question: 18

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CAT 2025 Set-1 | Quantitative Aptitude | Question-18

In a circle with center $\operatorname{C}$ 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 $\operatorname{C}$ is $3: 2$, then the area, in sq. cm , of the quadrilateral $P Q R S$ is

  1. $4(3+\sqrt{14})$
  2. $4(3 \sqrt{2}+\sqrt{7})$
  3. $20(3+\sqrt{14})$
  4. $20(3 \sqrt{2}+\sqrt{7})$

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