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locus problem (1 Viewer)

elv09

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

cheers :)
 

lolokay

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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
 
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