JEE Main 2021 · MathsNumerical answerNumerical valueMediumCalculation

JEE Main 26 August 2021, Shift 1, Maths Q85

Question 85 of 90 in this shift, Maths question 25 of 30, Section B.

The area of the region S

=\{(x, y) : 3x^2 \leq 4y \leq 6x+24\}

is __________.

Official answer

NTA final key.

Chapter: Application of Integrals
Topic: Area Under Curves
Idea tested: Area Between Parabola and Line

Same idea in other shifts

Asked 6× in all

4 Apr 2024, Shift 2 · Q11The area (in sq. units) of the region described by $\{(x,y): y^2\le 2x,\ \text{and}\ y\ge 4x-1\}$ isMediumSingle correct
30 Jan 2024, Shift 1 · Q11The area (in square units) of the region bounded by the parabola $y^2=4(x-2)$ and the line $y=2x-8$ , is :MediumSingle correct
24 Jun 2022, Shift 2 · Q26The area (in sq. units) of the region enclosed between the parabola $y^2 = 2x$ and the line $x + y = 4$ is ____.EasyNumerical value
3 Aug 2021, Shift 1 · Q87If the area of the region enclosed by the curve $y = x^2$ and the line $y = ax$ is 36 sq. units, then $|a|$ is equal to ________.EasyNumerical value
8 Jan 2020, Shift 2 · Q62The area (in sq. units) of the region $\{(x, y) \in \mathbf{R}^2 : x^2 \leq y \leq 3 - 2x\}$ , is :EasySingle 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.