locus problem (1 Viewer)

[elv09]

find the locus of a point which satisfies
|z-3| + |z+3| = 8

cheers

 

[lolokay]

needs some conics knowledge

an ellipse w/ foci (-3,0), (3,0) since for an ellipse, the sum of the distances from a point on the ellipse to the two foci is a constant
and 2a = 8, a=4
so b = rt(7)

x²/16 + y²/7 = 1