The total number of irrational terms in the binomial expansion of (71/5 – 31/10)60 is :
JEE · Math · previous-year question
- A.54correct
- B.55
- C.49
- D.48
Answer
A. 54
Explanation
General term Tr+1 = 60Cr, $${7^{{{60 - r} \over 5}}}{3^{{r \over {10}}}}$$ $$ \therefore $$ for rational term, r = 0, 10, 20, 30, 40, 50, 60 $$ \Rightarrow $$ no of rational terms = 7 $$ \therefore $$ number of irrational terms = 54
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