First slide

Binomial theorem for positive integral Index

Question

The number of non zero terms in the expansion of $(1 + 3 \sqrt{2} x)^{9} + (1 - 3 \sqrt{2} x)^{9}$ is

Easy

A

9
B

0
C

5
D

10

Solution

In the expansion of $(1 + 3 \sqrt{2} x)^{9} + (1 - 3 \sqrt{2} x)^{9}$
2nd, 4th, 6th, 8th and 10th terms get cancelled.
∴ Number of non-zero terms in
$2 [^{9} C_{0} +^{9} C_{2} (3 \sqrt{2 x})^{2} + \dots +^{9} C_{8} (3 \sqrt{2 x})^{8}]$ is 5

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App