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Question

If ω is a cube root of unity, then (3+5ω+3ω2)2+(3+3ω+5ω2)2 is equal to

A
4
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B
-4
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C
None of these
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Solution

The correct option is B -4
Given exp. ={3(1+ω2)+5ω}2+{3(1+ω)+5ω2}2=(3ω+5ω)2+(3ω2+5ω2)2=4ω2+4ω=4

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