Maximum sum of coefficient in the expansion of $(1 - x sin θ + x^{2})^{n}$ is

1

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2^{n}

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3^{n}

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0

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Solution

The correct option is D $3^{n}$
The maximum sum of he coefficient is achieved at $sin (θ) = - 1$
Hence substituting
$x = 1$ and $sin (θ) = - 1$
We get the maximum sum of the coefficient as
$(1 - (- 1) + 1)^{n}$
$= (3)^{n}$

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