Verified Solution • 2025–26 Session moderate

QJEEM19Maa406: JEE Main 2019 Mathematics - Class 11 JEEM19Maa406 Solution: The equation

The equation |z – i| = |z – 1|, i = −1, represents :

Multiple Choice Options

  • A a circle of radius 1
  • B the line through the origin with slope – 1
  • C a circle of radius 12
  • D the line through the origin with slope 1

Step-by-Step Verified Solution

Let the complex number z = x + iy

Now given | (x + iy) - 1 | = | (x+iy) - i |

⇒ (x - 1)2 + y2 = x2 + (y - 1)2

⇒ x = y

∴ the correct answer is option (D)

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