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The sum of the coefficient in the expans...

The sum of the coefficient in the expansion of `(1+ax-2x^(2))^(n)` is

A

positive, when `a lt 1` and `n = 2k, k in N`

B

negative, when `a lt 1` and `n = 2k + 1 , k in N`

C

positive, when `a gt 1` and `n in N`

D

zero, when `a = 1`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
To get the sum of coefficient,we put `x = 1`.
The, sum of coefficient in `(1+ax - 2x^(2))^(n)` is `(a-1)^(n)`
Obviously, when `a gt 1`sum is positive for any n.
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