AP EAMCET · Maths · Complex Number
If a complex number \(z\) satisfies
\(|z|^2+1=\mid z^2-1\), then the locus of \(z\) is
- A a circle
- B the real axis
- C the imaginary axis
- D the straight line \(y=x\)
Answer & Solution
Correct Answer
(C) the imaginary axis
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \text { Let } z=x+i y \text {, so } \\ & \qquad|z|^2+1=\left|z^2-1\right|\end{aligned}\)…
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