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Friday, 9 October

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JEE Main 2024 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 9 April 2024, Shift 2, Maths Q6

Question 6 of 90 in this shift, Maths question 6 of 30, Section A.

The sum of the coefficient of

x^{2/3}

and

x^{-2/5}

in the binomial expansion of

\left(x^{2/3}+\frac{1}{2}x^{-2/5}\right)^9

is

(1) $21/4$ Official answer
(2) $63/16$
(3) $19/4$
(4) $69/16$

Official answer

Option 1

NTA final key.

Chapter: Binomial Theorem
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.