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

Answer: (B)

whole complex plane excluding the points which lie on the unit circle x2 + y2 = 1.

Answer 2

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