If |z| = 1 and z ≠ ±1, then all the values of z 1 - z^2 lie on

JEE Advanced 2007 Mathematics question

If |z| = 1 and z ≠ ±1, then all the values of lie on

Answer: (D)

With |z| = 1, , so . Since

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Question ID VK-037515