NVAMediumJEE Main 2025 · 3 April, Shift 1Conic Sections (Parabola, Ellipse, Hyperbola)

Mathematics Question from JEE Main 2025 · 3 April, Shift 1

Let the product of the focal distances of the point P(4,23)P(4, 2\sqrt{3}) on the hyperbola H:x2a2y2b2=1H: \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 be 3232. Let the length of the conjugate axis of HH be pp and the length of its latus rectum be qq. Then p2+q2p^2 + q^2 is equal to .....

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