JEE Main 2021 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 27 August 2021, Shift 1, Maths Q87

Question 87 of 90 in this shift, Maths question 27 of 30, Section B.

If the minimum area of the triangle formed by a tangent to the ellipse

\frac{x^2}{b^2}+\frac{y^2}{4a^2}=1

and the co-ordinate axis is

kab

, then

k

is equal to __________.

Official answer

NTA final key.

Chapter: Conic Sections
Topic: Tangents and Normals
Idea tested: Optimizing Tangent-Bounded Area

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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.