Question

The equation $z\overline{z}+(2-3i)z+(2+3i)\overline{z}+4=0$ represents a circle of radius

• A. $2$ unit
• B. $3$ unit
• C. $4$ unit
• D. $6$ unit

Answer 1

The correct option is B $3$ unit

$z\overline{z}+(2-3i)z+(2+3i)\overline{z}+4=0\text{radius}=\sqrt{(2-3i)(2+3i)-4}=\sqrt{9}=3$