# NCERT Class 11 Mathematics Solutions: Chapter 8 –Binomial Theorem Miscellaneous Exercise Part 1

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1. Find in the expansion of if the first three terms of the expansion are , , respectively.

Answer:

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

The first three terms of the expansion are given as respectively

So,

………………….eq (1)

………….. eq (2)

………….eq (3)

Dividing eq (2) by (1)

………………….. eq (4)

Dividing eq (3) by (2)

[Using (4)]

…….. eq (5)

From eq (4) and (5)

Substituting in eq (1)

From eq(5)

So, .