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JEE 2023 — Mathematics PYQ

JEE | Mathematics | 2023

Consider ellipse $E_k : kx^2 + k^2y^2 = 1, k = 1, 2, \dots, 20$ . Let $C_k$ be the circle which touches the four chords joining the end points of the ellipse $E_k$ . If $r_k$ is the radius of the circle $C_k$ , then the value of $\sum_{k=1}^{20} \frac{1}{r_k^2}$ is:

JEE 2023 — Mathematics PYQ

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Explanation

Explanation