Question
Question: Number of complex numbers z satisfying \|z –3 –i\| = \|z –9 –i\| and \|z –3 + 3i\| = 3 are...
Number of complex numbers z satisfying |z –3 –i| = |z –9 –i| and |z –3 + 3i| = 3 are
A
One
B
Two
C
Three
D
Four
Answer
One
Explanation
Solution
Sol. |z –3 – i| = |z – 9 –i| Ž x = 6 which meets circle
|z – 3 + 3i| = 3 at |6 + iy –3 + 3i| = 3 i.e. y = –3