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```
The region of the complex plane for which |z - a|/|z + ~a| = 1 (Re(a) is not equal to 0) is, a)x-axis b)y-axis c)the straight line x=a d)none of these Which option is correct?? Please explain.
The region of the complex plane for which |z - a|/|z + ~a| = 1 (Re(a) is not equal to 0) is,a)x-axisb)y-axisc)the straight line x=ad)none of theseWhich option is correct?? Please explain.

```
2 years ago

## Answers : (1)

Arun
25768 Points
```							Dear student If we open this we get |z – a| = |z+a|  hence z is a locus which is always at same distance from (a , 0) and ( – a, 0).hence Z will be at perpendicular bisector of both points i.e. Y axis. Hence option B is correct
```
2 years ago
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