JEE Main 2025 — Hyperbola Question with Solution
JEE Main 2025 (7 Apr Shift 2)
Question
Let the lengths of the transverse and conjugate axes of a hyperbola in standard form be 2a and 2b, respectively, and one focus and the corresponding directrix of this hyperbola be and , respectively. If the product of the focal distances of a point on the hyperbola is , then is equal to
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Show full solutionCorrect answer: 189
Correct answer
189
Step-by-step explanation
Equation of hyperbola is
Directrix: and corresponding foci
and
Hyperbola
lie on it
Product for distance of from the two foci
For
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This is a previous-year question from JEE Main 2025, covering the Hyperbola chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.