Verified Solution • 2025–26 Session moderate

QJEEM19Ma6590: JEE Main 2019 Mathematics - Class 11 JEEM19Ma6590 Solution: The total number of irrational terms in the binomial expansion…

The total number of irrational terms in the binomial expansion of (71/5 – 31/10)60 is :

Multiple Choice Options

  • A 54
  • B 55
  • C 49
  • D 48

Step-by-Step Verified Solution

General term Tr+1 = 60Cr, 760−r53r10{7^{{{60 - r} \over 5}}}{3^{{r \over {10}}}}

∴\therefore   for rational term, r = 0, 10, 20, 30, 40, 50, 60

⇒\Rightarrow   no of rational terms = 7

∴\therefore   number of irrational terms = 54

Related Learning Resources & Exam Preparation