Precalculus
posted by John .
Find the sum of all possible values of the constant k such that the graph of the parametric equations x=2+4cos(s) and y=k4sin(s) intersects the graph of the parametric equations x=1+cos(t) and y=3+sin(t) at only one point.

Find the sum of all possible values of the constant k such that the graph of the parametric equations x=2+4cos(s) and y=k4sin(s) intersects the graph of the parametric equations x=1+cos(t) and y=3+sin(t) at only one point.
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