[JEE Advanced 1986] let z 1 z 2 with z 1 z 2 z 1 having positive
Let $z_1\ne z_2$ with $|z_1|=|z_2|$, $z_1$ having positive real part and $z_2$ negative imaginary part. Then $\dfrac{z_1+z_2}{z_1-z_2}$ may be
(a) zero
(b) real and positive
(c) real and negative
(d) purely imaginary
1 Answer
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· 2d ago
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Correct answer: (d) purely imaginary
When $|z_1|=|z_2|$, $\frac{z_1+z_2}{z_1-z_2}$ is purely imaginary (or undefined).
JEE Advanced 1986 · Complex Numbers — verified solution by the Vidaara Team.
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