JEE Main 2021 · MathsMultiple choiceSingle correctEasyCalculation

JEE Main 24 February 2021, Shift 2, Maths Q80

Question 80 of 90 in this shift, Maths question 20 of 30, Section A.

The area of the region : R = {(x, y) :

5x^2\leq y\leq2x^2+9

} is :

(1) $6\sqrt{3}$ square units
(2) $9\sqrt{3}$ square units
(3) $11\sqrt{3}$ square units
(4) $12\sqrt{3}$ square unitsOfficial answer

Official answer

Option 4

NTA final key.

Chapter: Application of Integrals
Topic: Area Under Curves
Idea tested: Area Between Two Standard Parabolas

Same idea in other shifts

Asked 6× in all

4 Apr 2026, Shift 2 · Q18The area of the region bounded by the curves $x+3y^2=0$ and $x+4y^2=1$ is equal to:EasySingle correct
5 Apr 2024, Shift 1 · Q27The area of the region enclosed by the parabolas $y=x^2-5x$ and $y=7x-x^2$ is ________.EasyNumerical value
1 Feb 2024, Shift 2 · Q26The sum of squares of all possible values of $k$ , for which area of the region bounded by the parabolas $2y^2=kx$ and $ky^2=2(y-x)$ is…HardNumerical value
25 Jun 2022, Shift 2 · Q6The area of the region enclosed between the parabolas $y^2 = 2x - 1$ and $y^2 = 4x - 3$ isMediumSingle correct
26 Jun 2022, Shift 2 · Q7The area of the region bounded by $y^2 = 8x$ and $y^2 = 16(3 - x)$ is equal to: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.