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Question: Answered & Verified by Expert
If a,b and c are the greatest values of Cp19,Cq20 and Cr21 respectively, then:
MathematicsBinomial TheoremJEE MainJEE Main 2020 (08 Jan Shift 1)
Options:
  • A a11=b22=c21
  • B a10=b11=c21
  • C a11=b22=c42
  • D a10=b11=c42
Solution:
1000 Upvotes Verified Answer
The correct answer is: a11=b22=c42

We know that, nCr is maximum at middle term.

a=19Cp=19C10=19C9

b=20Cq=20C10

c=21C6=21C10=21C11

Hence,

a19C9=a2010.19C9=a2111.2010.19C9

a1=b2=c4211

a11=b22=c42

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