NCERT Class 11 Mathematics Solutions: Chapter 8 – Binomial Theorem Miscellaneous Exercise Part 2 (For CBSE, ICSE, IAS, NET, NRA 2023)

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1. Find if the coefficients of in the expansion of are equal.

Answer:

It is known that in the binomial expansion of is given by

Assuming that occurs in the term in the expansion of

Comparing the indices of in and in ,

So, the coefficient of is

Assuming that occurs in the term in the expansion of

Comparing the indices of in and in , we obtain

So, the coefficient of is

It is given that the coefficients of and are the same.

So, the required value of is