JEE Main 2020MathematicsBinomial TheoremMediumMCQ

JEE Main 2020 — Binomial Theorem Question with Solution

JEE Main 2020 (08 Jan Shift 1)

Question

If a,b and c are the greatest values of Cp19,Cq20 and Cr21 respectively, then:

Choose an option

Show full solutionCorrect option: C
Correct answer
Ca11=b22=c42

Step-by-step explanation

We know that,  nCr is maximum at middle term.

a=  19Cp= 19C10= 19C9

b=  20Cq= 20C10

c=  21C6= 21C10= 21C11

Hence,

a 19C9=a2010. 19C9=a2111.2010. 19C9

⇒a1=b2=c4211

⇒a11=b22=c42

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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.