Teaching CSIR NET Mock Test Series Mathematical Science Complex Analysis Complex Number & Representation
For a complex number a such that 0 < |a| < 1, which of the following statements is true?
1
If |z| < 1 then |1 - a̅ z| < |z - a|
2
If |z - a| = |1 - a̅z|, then |z| = 1
3
If |z| = 1, then |z - a| < |1 - a̅z|
4
If |1 - a̅z| < |z - a|, then |z| < 1