Q.

Maximum sum of coefficient in the expansion of 1−xsin⁡θ+x2n is

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a

1

b

2n

c

3n

d

0

answer is C.

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Detailed Solution

Sum of coefficients in 1−xsin⁡θ+x2n is (1−sin⁡θ+1)n          (putting x = 1)This sum is greatest when sin ⁡θ=−1, then maximum sum is 3n.
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Maximum sum of coefficient in the expansion of 1−xsin⁡θ+x2n is