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Friday, 9 October

JEE Main 2025 · MathsNumerical answerNumerical valueMediumCalculation

JEE Main 3 April 2025, Shift 1, Maths Q23

Question 23 of 75 in this shift, Maths question 23 of 25, Section B.

Let the product of the focal distances of the point P(4,23)\mathrm{P}\left(4, 2\sqrt{3}\right) on the hyperbola H:x2a2−y2b2=1\mathrm{H}: \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 be 32. Let the length of the conjugate axis of H be pp and the length of its latus rectum be qq. Then p2+q2p^2 + q^2 is equal to ______

Official answer

120

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.