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[" A complex number "z" is said to be un...

[" A complex number "z" is said to be unimodular if "|z|=1." Suppose "z_(1)" and "z_(2)" are complex numbers "],[" such that "(z_(1)-2z_(2))/(2-z_(1)-2z_(2))" is unimodular and "z_(2)" is not unimodular.Then the point "z_(1)" lies on a: "],[[" (1) straight line parallel to "y" -axis."," (2) circle of radius "2.],[" (3) circle of radius "sqrt(2)" ."," (4) straight line parallel to "x" -axis."]]

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