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If z^2-z+1=0 then z^n-z^-n , where n is a multiple of 3, is a 2(-1)^n. b 0. c (-1)^n+1 d none of these A Das Gupta Complex Number Que 34 If z^2-z+1=0 then z^n-z^-n , where n is a multiple of 3, is a 2(-1)^n. b 0. c (-1)^n+1 d none of these A Das Gupta Complex Number Que 34
here z=-w or -w^2 where w is complex root of unity as 1+w+w^2=0they are asking (-w)^n that will be=(-1)n-(-1)-n=for n even it will become 0 and for n odd its also zero
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