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JEE Main 2023 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 8 April 2023, Shift 2, Maths Q7

Question 7 of 90 in this shift, Maths question 7 of 30, Section A.

The absolute difference of the coefficients of

x^{10}

and

x^7

in the expansion of

\left(2x^2 + \frac{1}{2x}\right)^{11}

is equal to

(1) $11^3 - 11$
(2) $12^3 - 12$ Official answer
(3) $10^3 - 10$
(4) $13^3 - 13$

Official answer

Option 2

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.