/

Learn

Saturday, 31 October

/

JEE Main 2021 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 25 July 2021, Shift 2, Maths Q71

Question 71 of 90 in this shift, Maths question 11 of 30, Section A.

If the greatest value of the term independent of ‘x’ in the expansion of

\left(x\sin\alpha+a\frac{\cos\alpha}{x}\right)^{10}

is

\frac{10!}{(5!)^2}

, then the value of ‘a’ is equal to :

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

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