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Question: The coefficient of middle term in the expansion of \(|b| < |a|\) is....

The coefficient of middle term in the expansion of b<a|b| < |a| is.

A

15+4x\frac{1}{\sqrt{5 + 4x}}

B

x<1x < 1

C

x<1|x| < 1

D

None of these

Answer

x<1x < 1

Explanation

Solution

Here, index = 10, an even number, therefore, middle term is 15C42415C_{4}2^{4} i.e. 6th term.

Also,15C82815C_{8}2^{8}⇒Coefficient of middle term (x21x)9\left( x^{2} - \frac{1}{x} \right)^{9}