The area of the region $\{(x,y):x^2\le y\le 8-x^2,\ y\le 7\}$ is

JEE Main 2023 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 8 April 2023, Shift 1, Maths Q12

Question 12 of 90 in this shift, Maths question 12 of 30, Section A.

The area of the region

\{(x,y):x^2\le y\le 8-x^2,\ y\le 7\}

(1) $18$
(2) $20$ Official answer
(3) $21$
(4) $24$

Official answer

Option 2

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
22 Jul 2021, Shift 2 · Q83The 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…HardNumerical 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.