If is purely imaginary

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

If z−1z+1\frac{z-1}{z+1} is purely imaginary, then ∣z∣|z| is equal to (1) 12\frac{1}{2} (2) 11 (3) 2\sqrt{2} (4) 22

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