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Q.

Let α and β be the roots of the equation x2+ x + 1 = 0. The equation whose roots are α19 , β 7 is

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a

x 2 – x – 1 = 0

b

x2  – x + 1 = 0

c

x 2  + x – 1 = 0

d

x2+ x + 1 = 0

answer is D.

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Detailed Solution

Let α=ω,β=ω2  so that α19=ω  and  β7=ω2∴ equation whose roots are α19,β7 is x2+x+1=0
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