Question

The equation \( z^2 + (2 - 3i)z + (2 + 3i) = 4 = 0 \) represents a circle of radius

• A. 2
• B. 3
• C. 4
• D. 6

Hint:

To find the radius of a circle represented by a complex equation, use the standard form and solve for the radius.

Answer 1

The Correct Option is A

Step 1: Understand the equation form.
The general form of a complex number equation representing a circle is \( z^2 + \alpha z + \beta = 0 \).
Step 2: Conclusion.
After simplifying the equation, the radius of the circle is found to be 2.
Final Answer: \[ \boxed{2} \]