Home >
Complex Numbers >
jee_adv_2026_mock_p2 >
32ea1f4ce41149148412a41af5fc7078
Not the exact question you were looking for?
Paste your question to our Mathbee AI Mentor below to get an instant step-by-step solution.
Complex Numbers
Geometry of Complex Numbers
jee_adv_2026_mock_p2
Grade None
Question:
The locus of z is:
A. A circle
B. A straight line
C. A parabola
D. An ellipse
Step-by-Step Solution
Key Concept: |z - z1| = |z - z2| represents the perpendicular bisector of segment joining z1 and z2.
Step 1: |z - 1| = |z - i| gives the locus of points equidistant from (1,0) and (0,1). Step 2: This is the perpendicular bisector, a straight line y = x.
Correct Answer:B
Mathbee AI Mentor (Free Demo)
Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.
Master Complex Numbers with Mathbee
Practice this topic under real exam conditions with strict timers, or ask our AI Mentor to explain the concepts step-by-step.