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What do the{z:|z-a|-|z+a|=c} represent?...

What do the`{z:|z-a|-|z+a|=c} represent?

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Here`{z:|z-a|-|z+a|=c}`
implies that , the difference of the distances of the point (x,y) from two fixed points'-a'and'a" is a constant i.e.c. So the locus is a hyperbola.
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