JEE Main 2020 · MathsMultiple choiceSingle correctEasyCalculation

JEE Main 8 January 2020, Shift 2, Maths Q62

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

The area (in sq. units) of the region

\{(x, y) \in \mathbf{R}^2 : x^2 \leq y \leq 3 - 2x\}

, is :

(1) $\frac{32}{3}$ Official answer
(2) $\frac{29}{3}$
(3) $\frac{31}{3}$
(4) $\frac{34}{3}$

Official answer

Option 1

NTA final key (Jan 2020).

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
26 Aug 2021, Shift 1 · Q85The area of the region S $=\{(x, y) : 3x^2 \leq 4y \leq 6x+24\}$ is __________.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.