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JEE MAIN 2025
03-04-2025 SHIFT-1
Question
Let the product of the focal distances of the point $P(4,2\sqrt 3)$ on the hyperbola ${\rm{H}}:\frac{{{x^2}}}{{{a^2}}} - \frac{{{y^2}}}{{{b^2}}} = 1$ be 32. Let the length of the conjugate axis of H be p and the length of its latus rectum be q. Then ${p^2} + {q^2}$ is equal to .......
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