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यदि `z^(2)+z+1=0`, जहाँ z एक सम्मिश्र संख्या है तब `(z+(1)/(z))^(2)+(z^(2)+(1)/(z^(2)))^(2)+(z^(3)+(1)/(z^(3)))^(2)+ . . .+(z^(6)+(1)/(z^(6)))^(2)` का

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यदि `z^(2)+z+1=0`, जहाँ z एक सम्मिश्र संख्या है तब
`(z+(1)/(z))^(2)+(z^(2)+(1)/(z^(2)))^(2)+(z^(3)+(1)/(z^(3)))^(2)+ . . .+(z^(6)+(1)/(z^(6)))^(2)` का मान होगा -
A. 54
B. 6
C. 12
D. 18
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Correct Answer - C
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