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Hyperbola question

2025 · 7 Apr · Shift 2 · Q49

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Hyperbola
2025 · 7 Apr · Shift 2 · Q49

Hyperbola question

2025 · 7 Apr · Shift 2 · Q49

JEE MainMathematicsHyperbolaNumerical+4 / −1

Let the lengths of the transverse and conjugate axes of a hyperbola in standard form be

2 a

and

2 b

, respectively, and one focus and the corresponding directrix of this hyperbola be

(-5,0)

and

5 x+9=0

, respectively. If the product of the focal distances of a point

(\alpha, 2 \sqrt{5})

on the hyperbola is

p

, then

4 p

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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