JEE Main 2020MathematicsBinomial TheoremGeneral TermeasyMCQ

JEE Main 2020Binomial Theorem Question with Solution

From: JEE Main 2020 (Online) 6th September Evening Slot

Question

If the constant term in the binomial expansion of
is 405, then |k| equals :

Choose an option

Show full solutionCorrect option: A
Correct answer
A3

Step-by-step explanation



rth term of the expansion,

Tr+1 = 10Cr

= 10Cr.

= 10Cr.

If it is constant term then
= 0
r = 2

T3 = 10C2.(-k)2 = 405

k2 = = 9

k = 3

|k| = 3

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About this question

This is a previous-year question from JEE Main 2020, covering the Binomial Theorem chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.