Complex Numbers

Show that there exists a complex Number Z satisfying |z-a| + |z+a|= 2 |c| if and only if |a| ≤ |c|. If this condition is satisfied what are the smallest and largest values of |z| ??????

3 Answers

3
msp ·

think of ellipse.

11
Tush Watts ·

okay I got it
thanx msp
|z-a| + |z+a| = 2|c|
The point Z describes an ellipse having foci at a and b and c belongs to R+ .

3
msp ·

dude have u got the condition given in the qn.

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