The locus of the points representing the complex numbers |
|
a) |
A circle with centre at the origin |
b) |
A straight line passing through the origin |
c) |
The single point |
d) |
None of these |
The locus of the points representing the complex numbers |
|
a) |
A circle with centre at the origin |
b) |
A straight line passing through the origin |
c) |
The single point |
d) |
None of these |
(c)
We have,
and
lies on the circle
and also on the perpendicular bisector of the line segment joining
and
i.e.,
Putting in
we get
Hence, the locus of is the single point