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JEE Main 2021Mathematics Algebra

easy
mcq
2021
Official previous-year question

Verified 30 May 2026.

Question

If |z - 2| = |z + 2|, then z lies on:

Options

  1. ACircle
  2. BReal axis
  3. CImaginary axis
  4. DHyperbola

Solution

|z-2| = |z+2| means z is equidistant from 2 and -2. This gives the imaginary axis (y-axis).

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