Verified Solution • 2025–26 Session moderate

QJEEM20Ma3130: JEE Main 2020 Mathematics - Class 11 JEEM20Ma3130 Solution: If a, b and c are the greatest value of 19 C p , 20 C q and 21…

If a, b and c are the greatest value of 19Cp, 20Cq and 21Cr respectively, then :

Multiple Choice Options

  • A a11=b22=c21{a \over {11}} = {b \over {22}} = {c \over {21}}
  • B a10=b22=c21{a \over {10}} = {b \over {22}} = {c \over {21}}
  • C a10=b11=c42{a \over {10}} = {b \over {11}} = {c \over {42}}
  • D a11=b22=c42{a \over {11}} = {b \over {22}} = {c \over {42}}

Step-by-Step Verified Solution

( 19Cp)max = 19C9 or 19C10 = a

( 20Cp)max = 20C10 = b

( 21Cr)max = 21C10 or 21C11 = c

1 = a19C10=b20C10=c21C10{a \over {^{19}{C_{10}}}} = {b \over {^{20}{C_{10}}}} = {c \over {^{21}{C_{10}}}}

⇒\Rightarrow a11=b22=c42{a \over {11}} = {b \over {22}} = {c \over {42}}

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