if 1−x+x2n=a0+a1x+a2x2+…+a2nx2n then a0+a2+a4+…+a2n is equal to
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a
3n+12
b
3n−12
c
1−3n2
d
3n+12
answer is A.
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Detailed Solution
1−x+x2n=a0+a1x+a2x2+…+a2nx2n on putting X=1, we get(1−1+1)n=a0+a1+a2+…+a2n ⇒ 1=a0+a1+a2+…+a2n .....(i)Again, putting x= - 1, we get3n=a0−a1+a2−…+a2n3n+12=a0+a2+a4+…+a2n