If the area (in sq. units) bounded by the parabolas $5x^2 - y = 0$ and $2x^2 - y + b = 0$ $(b > 0)$ is $12\sqrt{3}$, then '$b$' is equal to $\underline{\hspace{2em}}$.

JEE Main 2021 · MathsNumerical answerNumerical valueMediumCalculation

JEE Main 3 August 2021, Shift 2, Maths Q85

Question 85 of 90 in this shift, Maths question 25 of 30, Section B.

If the area (in sq. units) bounded by the parabolas

5x^2 - y = 0

and

2x^2 - y + b = 0

(b > 0)

12\sqrt{3}

, then '

b

' is equal to

\underline{\hspace{2em}}

Official answer

NTA final key.

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

Same idea in other shifts

Asked 12× in all

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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.