If z ¹ 1 and 2 1 z z – is real, then the point represented by the complex number z lies :

Question:

If $z \neq 1$ and $\frac{z^{2}}{z-1}$ is real, then the point represented by the complex number $z$ lies:

  1. either on the real axis or on a circle passing through the origin.

  2. on a circle with centre at the origin

  3. either on the real axis or on a circle not passing through the origin.

  4. on the imaginary axis.

Correct Option: 1

JEE Main Previous Year 1 Question of JEE Main from Mathematics Complex Numbers and Quadratic Equations chapter.
JEE Main Previous Year 2012

Solution:

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