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The quotient when 1+x^(2)+x^(4)+x^(6)+…....

The quotient when `1+x^(2)+x^(4)+x^(6)+…..+x^(34)` is divided by `1+x+x^(2)+x^(3)+…….+x^(17)` is

A

`x^(17)-x^(15)+x^(13)-x^(11)…..+x`

B

`x^(17)+x^(15)+x^(13)+x^(11)…..+x`

C

`x^(17)+x^(16)+x^(15)+x^(14)…..+1`

D

`x^(17)-x^(16)+x^(15)-x^(14)…..-1`

Text Solution

Verified by Experts

The correct Answer is:
D

Do in this way option (D)
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