AP EAMCET · Maths · Complex Number
If \(z=x+i y\) is a complex number satisfying \(\left|z+\frac{i}{2}\right|^2=\left|z-\frac{i}{2}\right|^2\), then the locus of \(z\) is
- A \(x\)-axis
- B \(y\)-axis
- C \(y=x\)
- D \(2y=x\)
Answer & Solution
Correct Answer
(A) \(x\)-axis
Step-by-step Solution
Detailed explanation
We have, \[ \left|z+\frac{i}{2}\right|^2=\left|z-\frac{i}{2}\right|^2 \]…
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