NCERT Class 11 Mathematics Solutions: Chapter 8 – Binomial Theorem Miscellaneous Exercise Part 1 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Understanding of Binomia Theorem

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, .

Developed by: