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Friday, 9 October

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JEE Main 2025 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 4 April 2025, Shift 2, Maths Q18

Question 18 of 75 in this shift, Maths question 18 of 25, Section A.

Let

f(x)+2f\left(\frac{1}{x}\right)=x^2+5

and

2g(x)-3g\left(\frac{1}{2}\right)=x

,

x>0

. If

\alpha=\int_1^2 f(x)\,dx

, and

\beta=\int_1^2 g(x)\,dx

, then the value of

9\alpha+\beta

is :

(1)0
(2)1
(3)10
(4)11Official answer

Official answer

Option 4

NTA final key.

Chapter: 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.