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JEE 2023 — Mathematics PYQ

JEE | Mathematics | 2023

Let $P\left( \frac{2\sqrt{3}}{\sqrt{7}}, \frac{6}{\sqrt{7}} \right)$ , $Q$ , $R$ , and $S$ be four points on the ellipse $9x^2 + 4y^2 = 36$ . Let $PQ$ and $RS$ be mutually perpendicular and pass through the origin. If $\frac{1}{(PQ)^2} + \frac{1}{(RS)^2} = \frac{p}{q}$ , where $p$ and $q$ are coprime, then $p + q$ is equal to

JEE 2023 — Mathematics PYQ

Choose the correct answer:

Explanation

Step 1: Ellipse ki standard form

Step 2: Chord PQ ki length nikalna

Step 3: Chord RS ki length nikalna

Step 4: Expression ki value calculate karna

Step 5: Final Comparison