Find the middle term in the expansion of (x/a – a/x)10

Question

Find the middle term in the expansion of \( (\dfrac{x}{a} – \dfrac{a}{x})^{10}\)

Asked by Sakshi | 1 year ago | 211

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Class 11 Maths Binomial Theorem Add Answer

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Accepted Answer

We have,

where, n = 10 (even number)

So the middle term is (\( \dfrac{n}{2}\) + 1) = (\( \dfrac{10}{2}\) + 1)

= (5 + 1) = 6. ie., 6^th term

Now,

T₆ = T₅₊₁

RD Sharma Solutions for Class 11 Maths Chapter 18 – Binomial Theorem image - 40

Hence, the middle term is -252.

Answered by Sakshi | 1 year ago