JEE Main 2021 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 26 August 2021, Shift 2, Maths Q72

Question 72 of 90 in this shift, Maths question 12 of 30, Section A.

The point

\mathrm{P}(-2\sqrt{6},\sqrt{3})

lies on the hyperbola

\frac{x^2}{\mathrm{a}^2}-\frac{y^2}{\mathrm{b}^2}=1

having eccentricity

\frac{\sqrt{5}}{2}

. If the tangent and normal at P to the hyperbola intersect its conjugate axis at the points Q and R respectively, then QR is equal to :

(1) $4\sqrt{3}$
(2) $3\sqrt{6}$
(3) $6$
(4) $6\sqrt{3}$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Conic Sections
Topic: General Conic Section
Idea tested: Tangent to General Conic (T=0)

Same idea in other shifts

Asked 6× in all

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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.