IIT-JEE Exam Numerical Ability Complex Numbers

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

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IIT-JEE Other Question

Let a, b, c
be unit vectors such that a + b + c = 0 . Which one of the following is correct?
(A) a × b = b × c = c × a = 0
(B) a × b = b × c = c × a ≠ 0(C) a × b = b × c = a × c = 0
(D) a × b, b × c, c × a are mutually perpendicular The positive value of k for which kex − x = 0 has only one root is
(A) 1/e (B) 1
(C) e (D) loge2