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If z is a non-real root of 7√ –1, then z86 + z175 + z289 is equal to (a) 0(b) –1(c) 3(d) 1 |
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Answer» Correct option (b) –1 Explanation: z = 7√ –1 z7 = –1 ∴ z86 + z175 + z289 = (z7 )12 z2 + (z7 )25 + (z7 ) 41.z2 = z2 – 1 – z2 = –1 |
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