# Too complex?

Algebra Level 4

Let Z denote any complex number of the type $$x + iy$$ in the complex plane. Then $\displaystyle |Z - \left( 3 + 4i \right) | + |Z - \left( 15 + 9i \right) | = K$ where K is any real number, represents

 A. Ellipse when $$K = 13$$

 B. Ellipse when $$K > 13$$

 C. A line segment when $$K = 13$$

 D. A circle.

How many of the above statements are correct?

×