Exam bonus question: Precalc
What do you make of this time-eater for a bonus on a precalc final?
Find the locus of points, the sum of whose distances from a given point and a given line are constant.
- I think my wording is awkward. Better ideas?
- I am not sure what the figure is, though I am fairly confident it does not have corners.
- I was looking for any progress: a loose sketch, some application of the distance formula, almost anything graphic, analytic or algebraic.
So what do you think?