Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Complex Analysis Mobius Transformations
Let \(T(z) = \frac{3z - 4}{2z + 1}\) be a Mobius transformation. Which of the following is correct?
1
T maps the imaginary axis onto a circle passing through the origin.
2
T has exactly two distinct fixed points
3
The determinant of T's coefficient matrix is zero, indicating T is not invertible.
4
T has exactly two distinct fixed points, and they lie on the real axis.
5
Question Not Attempted