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Friday, 9 October

JEE Main 2025 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 7 April 2025, Shift 2, Maths Q22

Question 22 of 75 in this shift, Maths question 22 of 25, Section B.

Let the lengths of the transverse and conjugate axes of a hyperbola in standard form be 2a2a and 2b2b, respectively, and one focus and the corresponding directrix of this hyperbola be (−5,0)(-5,0) and 5x+9=05x+9=0, respectively. If the product of the focal distances of a point (α,25)(\alpha,2\sqrt{5}) on the hyperbola is pp, then 4p4p is equal to ________.

Official answer

189

NTA final key.

Chapter
Conic Sections
Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.