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Complex Numbers question

2012 · Shift 0 · Q43
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  5. /2012 · Shift 0 · Q43

Complex Numbers question

2012 · Shift 0 · Q43

JEE MainMathematicsComplex NumbersMCQ+4 / −1
If ze1z e 1ze1 and  z2z−1 \,{{{z^2}} \over {z - 1}}\,z−1z2​ is real, then the point represented by the complex number z lies :
  1. A
    either on the real axis or a circle passing through the origin.
  2. B
    on a circle with centre at the origin
  3. C
    either on real axis or on a circle not passing through the origin.
  4. D
    on the imaginary axis.
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