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JEE Main 2022 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 30 June 2022, Shift 1, Maths Q24

Question 24 of 90 in this shift, Maths question 24 of 30, Section B.

If for some

\alpha > 0

, the area of the region

\{(x, y) : |x+\alpha| \leq y \leq 2 - |x|\}

is equal to

\frac{3}{2}

, then the area of the region

\{(x, y) : 0 \leq y \leq x + 2\alpha, |x| \leq 1\}

is equal to __________.

Official answer

4

NTA final key.

Chapter: Application of Integrals
Topic: Area Under Curves
Idea tested: Finding Unknown Parameters from Area

Same idea in other shifts

Asked 2× in all

6 Apr 2024, Shift 2 · Q11If the area of the region $\left\{(x,y):\frac{a}{x^2}\le y\le\frac{1}{x},\ 1\le x\le 2,\ 0<a<1\right\}$ is $(\log_e 2)-\frac{1}{7}$ then…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.