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Saturday, 31 October

JEE Main 2021 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 27 August 2021, Shift 2, Maths Q86

Question 86 of 90 in this shift, Maths question 26 of 30, Section B.

Let A(sec⁡θ,2tan⁡θ)A(\sec\theta, 2\tan\theta) and B(sec⁡ϕ,2tan⁡ϕ)B(\sec\phi, 2\tan\phi), where θ+ϕ=π/2\theta + \phi = \pi/2, be two points on the hyperbola 2x2−y2=22x^2 - y^2 = 2. If (α,β)(\alpha, \beta) is the point of the intersection of the normals to the hyperbola at A and B, then (2β)2(2\beta)^2 is equal to __________.

Official answer

36

NTA final key.

Chapter
Conic Sections
Topic
Normals to Conics
Idea tested
Hyperbola Normal Parametric Form

Same idea in other shifts

Asked 2× in all
  1. 4 Aug 2021, Shift 2 · Q74Let the normal at any point of hyperbola x2a2−y2b2=1\frac{x^2}{a^2}-\frac{y^2}{b^2}=1 intersect the coordinate axes at points P and Q. Then the…HardSingle correct

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 108 of the 174 JEE Main shifts held from 2017 to 2026.