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Friday, 9 October

JEE Main 2023 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 11 April 2023, Shift 1, Maths Q28

Question 28 of 90 in this shift, Maths question 28 of 30, Section B.

Let Hn:x21+n−y23+n=1, n∈NH_n : \frac{x^2}{1+n} - \frac{y^2}{3+n} = 1,\ n \in \mathbb{N}. Let kk be the smallest even value of nn such that the eccentricity of HkH_k is a rational number. If ll is the length of the latus rectum of HkH_k, then 21l21l is equal to ________________.

Official answer

306

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.