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Friday, 9 October

JEE Main 2026 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 4 April 2026, Shift 2, Maths Q11

Question 11 of 75 in this shift, Maths question 11 of 25, Section A.

Let H:x2a2−y2b2=1H:\frac{x^2}{a^2}-\frac{y^2}{b^2}=1 be a hyperbola such that the distance between its foci is 6 and the distance between its directrices is 83\frac83. If the line x=αx=\alpha intersects the hyperbola HH at the points AA and BB such that the area of the triangle AOBAOB is 4154\sqrt{15}, where OO is the origin, then α2\alpha^2 equals
  1. (1)12
  2. (2)16Official answer
  3. (3)24
  4. (4)25

Official answer

Option 2

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.