Complex Numbers And Quadratic Equations question 378

Question: If $ |8+z|+|z-8|=16 $ where z is a complex number, then the point z will lie on [J & K 2005]

Options:

A) A circle

B) An ellipse

C) A straight line

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

Given $ |8+z|+|z-8|=16 $ . Clearly locus of z is an ellipse.