JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 30 January 2024, Shift 1, Maths Q7

Question 7 of 90 in this shift, Maths question 7 of 30, Section A.

The maximum area of a triangle whose one vertex is at

(0,0)

and the other two vertices lie on the curve

y=-2x^2+54

at points

(x,y)

and

(-x,y)

, where

y>0

, is :

(1) $92$
(2) $108$ Official answer
(3) $88$
(4) $122$

Official answer

Option 2

NTA final key.

Chapter: Application of Derivatives
Topic: Maxima and Minima
Idea tested: Max/Min of Inscribed Geometric Figures

Same idea in other shifts

Asked 3× in all

5 Apr 2024, Shift 1 · Q9Let a rectangle ABCD of sides 2 and 4 be inscribed in another rectangle PQRS such that the vertices of the rectangle ABCD lie on the sides…HardSingle correct
8 Apr 2024, Shift 2 · Q24Let A be the region enclosed by the parabola $y^2 = 2x$ and the line $x = 24$ . Then the maximum area of the rectangle inscribed in the…MediumNumerical value

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.