Question

The natural domain of definition of the function f(z) = \(\frac{1}{1-|z|^2}\) is ________.

• A. whole complex plane
• B. whole complex plane excluding the points which lie on the unit circle x² + y² = 1.
• C. complex plane excluding the point z = 0.
• D. whole complex plane excluding the point z=\(\frac{1}{2}\)

Answer 1

The Correct Option is B

The correct answer is(B): whole complex plane excluding the points which lie on the unit circle x² + y² = 1.