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Question

If α is a non real root of the equation x61=0 then α2+α3+α4+α5α+1=

A
α
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B
1
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C
0
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D
1
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Solution

The correct option is D 1
Sum and product of roots of x61=0 are
α6=1

1+α+α2+α3+α4+α5=0

α2+α3+α4+α5=(1+α)
Given =α2+α3+α4+α51+α
=1

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