Question
Question: The locus of the points representing the complex number z for which \| z \| – 2 = \| z – i \| – \| z...
The locus of the points representing the complex number z for which | z | – 2 = | z – i | – | z + 5i | = 0 is –
A
A circle with centre at origin
B
The single point (0, – 2)
C
A straight line passing through origin
D
None of these
Answer
The single point (0, – 2)
Explanation
Solution
Sol.
|\overset{̶}{Z}| = 2
|\overset{̶}{Z}| = 1
& |\overset{̶}{Z}–i| = |\overset{̶}{Z} + 5i| 