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?