# NCERT Class 11 Mathematics Solutions: Chapter 8 –Binomial Theorem Miscellaneous Exercise Part 2

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

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