Maximum sum of coefficient in the expans...

Maximum sum of coefficient in the expansion of `(1-xsintheta+x^2)^n` is `1` b. `2^n` c. `3^n` d. `0`

A

1

B

`2^(n)`

C

`3^(n)`

D

`0`

Text Solution

Verified by Experts

The correct Answer is:

C

Sum of coeficient in `(1-xsin theta + x^(2))^(n)` is `(1-sin theta +1)^(n)` (putting `x=1`)
This sum is grestest when `sin theta = -1`, then maixmum sum is `3^(n)`.

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