Maths Binomial Theorem & Mathematical Induction No of Term, General Term, Coefficient of Any Power of X, Independent Term, Middle Term and Greatest Term & Greatest Coefficient Single Correct MCQ
Published on: August 12, 2026

In the expansion of -

A
The number of irrational terms = 19
B
Middle term is irrational
C
The number of rational term = 2
D
9 th term is rational

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Text Solution

Verified by Experts
The correct answer is:
CHECK THE SOLUTION.

(a, b, c, d)

T r + 1 = 20 C r 6 – r/4

= 20 C r 2 –r/4 3 –r/4

= 20 C r .

for rational terms and must be integer and r should lie in [0, 20]

= integer ⇒ r = 0, 4, 8, 12, 16, 20

r = 8 and 20 ; is also integer only two terms are rational so 21 – 2 = 19 terms are irrational. For middle term r = 10

So middle term is also irrational.

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