In the expansion of (4 1/3 + 6 –1\4 ) 20 , consider the fol…

Maths Binomial Theorem & Mathematical Induction Mix Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 14, 2026

In the expansion of (4 1/3 + 6 –1\4 ) 20 , consider the following statements –

(i) the number of irrational terms = 18

(ii) the number of rational terms = 2

(iii) the middle term is irrational.

Then the correct statements are -

(i) and (iii)

(ii) and (iii)

(i) and (ii)

All three

Text Solution

Verified by Experts

The correct answer is:

T r + 1 = 20 C r . 4 20 – r/3

The number of rational term = 2

when r = 12, 20

middle term T 11 = 20 C 10 (4 1/3 ) 10

is irrational.

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