JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 4 September 2020, Shift 2, Maths Q62

Question 62 of 75 in this shift, Maths question 12 of 25.

The area (in sq. units) of the largest rectangle ABCD whose vertices A and B lie on the

x

-axis and vertices C and D lie on the parabola,

y = x^2 - 1

below the

x

-axis, is :

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

Official answer

Option 3

NTA final key (Sep 2020).

Chapter: Application of Derivatives
Topic: Maxima and Minima
Idea tested: Inscribed 2D Geometry Optimization

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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.