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JEE Main 2021 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 3 August 2021, Shift 2, Maths Q66

Question 66 of 90 in this shift, Maths question 6 of 30, Section A.

In the Binomial expansion of

\left(2x\sqrt{x} + 3y^{\frac{1}{16}}\right)^{33}

, the number of terms, having positive integral powers of

x

and

y

is :

(1) $0$ Official answer
(2) $1$
(3) $2$
(4) $3$

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.