Question

If \(f(z) = \frac{7 - z}{1 - z^2}\), where \(z = 1 + 2i\), then \(|f(z)|\) is equal to

• A. \(\dfrac{|z|}{2}\)
• B. \(|z|\)
• C. \(2|z|\)
• D. None of these

Hint:

For complex functions, use modulus properties to simplify.

Answer 1

The Correct Option is B

|f(z)|=(|7-z|)/(|1-z²|) Substituting z=1+2i and simplifying gives |f(z)|=|z|.