If the $1011^{\text{th}}$ term from the end in the binomial expansion of $\left(\frac{4x}{5} - \frac{5}{2x}\right)^{2022}$ is $1024$ times $1011^{\text{th}}$ term from the beginning, then $|x|$ is equal to

JEE Main 2023 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 11 April 2023, Shift 2, Maths Q7

Question 7 of 90 in this shift, Maths question 7 of 30, Section A. NTA dropped this question from the final key; it is left out of every count on this site.

If the

1011^{\text{th}}

term from the end in the binomial expansion of

\left(\frac{4x}{5} - \frac{5}{2x}\right)^{2022}

1024

times

1011^{\text{th}}

term from the beginning, then

|x|

is equal to

(1) $8$
(2) $10$
(3) $12$
(4) $15$

Official answer

Dropped by NTA (marks given to all)

NTA final key: NTA final key: DROP (question dropped).

Chapter: Binomial Theorem
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy