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JEE Main 2023 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 11 April 2023, Shift 2, Maths Q12

Question 12 of 90 in this shift, Maths question 12 of 30, Section A.

If

f : \mathbb{R} \to \mathbb{R}

be a continuous function satisfying

\int_0^{\pi/2} f(\sin 2x)\sin x\,dx + \alpha \int_0^{\pi/4} f(\cos 2x)\cos x\,dx = 0

, then the value of

\alpha

is

(1) $-\sqrt{2}$ Official answer
(2) $\sqrt{2}$
(3) $-\sqrt{3}$
(4) $\sqrt{3}$

Official answer

Option 1

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