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JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 27 January 2024, Shift 1, Maths Q11

Question 11 of 90 in this shift, Maths question 11 of 30, Section A.

If

\displaystyle\int_0^1\dfrac{1}{\sqrt{3+x}+\sqrt{1+x}}\,dx=a+b\sqrt{2}+c\sqrt{3}

, where a, b, c are rational numbers, then

2a+3b-4c

is equal to :

(1) $4$
(2) $7$
(3) $8$ Official answer
(4) $10$

Official answer

Option 3

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.