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Friday, 9 October

JEE Main 2025 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 7 April 2025, Shift 1, Maths Q23

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

Consider the hyperbola x2a2−y2b2=1\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 having one of its focus at P(−3,0)P(-3, 0). If the latus ractum through its other focus subtends a right angle at PP and a2b2=α2−βa^2 b^2 = \alpha\sqrt{2} - \beta, α,β∈N\alpha, \beta \in \mathbb{N}, then α+β\alpha + \beta is ___________.

Official answer

1944

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.