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Friday, 9 October

JEE Main 2023 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 6 April 2023, Shift 1, Maths Q22

Question 22 of 90 in this shift, Maths question 22 of 30, Section B.

Let the point (p,p+1)(p,p+1) lie inside the region E={(x,y):3−x≤y≤9−x2, 0≤x≤3}E=\left\{(x,y):3-x\le y\le\sqrt{9-x^2},\,0\le x\le3\right\}. If the set of all values of pp is the interval (a,b)(a,b), then b2+b−a2b^2+b-a^2 is equal to ____________

Official answer

3

NTA final key.

Chapter
Application of Integrals
Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

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 42 of the 174 JEE Main shifts held from 2017 to 2026.