JEE Main 2024 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 1 February 2024, Shift 2, Maths Q28

Question 28 of 90 in this shift, Maths question 28 of 30, Section B.

Three points

O(0,0)

P(a,a^2)

Q(-b,b^2)

a>0

b>0

, are on the parabola

y=x^2

. Let

S_1

be the area of the region bounded by the line

PQ

and the parabola, and

S_2

be the area of the triangle

OPQ

. If the minimum value of

\frac{S_1}{S_2}

\frac{m}{n}

\gcd(m,n)=1

, then

m+n

is equal to ________.

Official answer

NTA final key.

Chapter: Application of Integrals
Topic: Area Under Curves
Idea tested: Area of Parabolic Segment

Same topic in other shifts

All Area Under Curves questions

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