JEE Main 2021 · MathsNumerical answerNumerical valueHardCalculation

JEE Main 22 July 2021, Shift 2, Maths Q83

Question 83 of 90 in this shift, Maths question 23 of 30, Section B.

The area (in sq. units) of the region bounded by the curves

x^2+2y-1=0

y^2+4x-4=0

and

y^2-4x-4=0

, in the upper half plane is ________.

Official answer

NTA final key.

Chapter: Application of Integrals
Topic: Area Under Curves
Idea tested: Regions with Multiple Bounding Curves

Same idea in other shifts

Asked 3× in all

30 Jan 2024, Shift 2 · Q26The area of the region enclosed by the parabola $(y-2)^2 = x - 1$ , the line $x - 2y + 4 = 0$ and the positive coordinate axes is ________.MediumNumerical value
8 Apr 2023, Shift 1 · Q12The area of the region $\{(x,y):x^2\le y\le 8-x^2,\ y\le 7\}$ isMediumSingle 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.