JEE Main 2024 · MathsNumerical answerNumerical valueMediumCalculation

JEE Main 8 April 2024, Shift 2, Maths Q24

Question 24 of 90 in this shift, Maths question 24 of 30, Section B.

Let 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 region A is ________.

Official answer

128

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
30 Jan 2024, Shift 1 · Q7The 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 $(x,y)$ …MediumSingle 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.