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I was just wondering if anyone would be able to help me with a question I received recently as complex numbers homework and didn't quite understand.

There was an equation given in complex form ie. something along the lines of |z-2|=|zconjugate=2| (I cannot remember this exactly now, which I know doesn't help, but nor do I know how to convert the y=-x equation back into the given form!)

The question then stated: "describe geometrically the relation between the line and the points (2,0) and (-2,0)" There was also a dotted line drawn through the points.

## Homework Statement

"Describe geometrically the realtionship between the line and the points (2,0) and (0,-2)"

## Homework Equations

## The Attempt at a Solution

Well, I didn't actually understand what 'desribe geometrically' meant, but it was obvious that the lines intersected at the point (1,-1) and that they were perpendicular to each other. The equation of the line passing through the two points is y=x-2, and I also found that if the line y=-x was reflected about the line x=1 the other graph was obtained.

Aside from this, though, I don't actually understand what the question is asking or how I should answer it. Any help given would be greatly appreciated.

:):):)