Let the product of the focal distances of the point P(4,2 \sqrt{3}) on the hyperbola 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 \_\_\_\_ . [3 Apr 2025 Shift 1]

Hyperbola

Section: Mathematics

Question : 13 of 92

Marks: +1, -0

Let the product of the focal distances of the point P(4,2√3) on the hyperbola H:‌

−‌

=1 be 32. Let the length of the conjugate axis of H be p and the length of its latus rectum be q. Then p2+q2 is equal to ____ .

[3 Apr 2025 Shift 1]

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