JEE Mains · Maths · STD 11 - 4.1 complex nubers
The equation \(\left| {z - i} \right| = \left| {z - 1} \right|,i = \sqrt { - 1} \), represents
- A a circle of radius \(\frac{1}{2}\)
- B the line through the origin with slope \(1\)
- C a circle of radius \(1\)
- D the line through the origin with slope \(-1\)
Answer & Solution
Correct Answer
(B) the line through the origin with slope \(1\)
Step-by-step Solution
Detailed explanation
\(\left| {z - i} \right| = \left| {z - 1} \right|\) gives \(y = x\)
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