Question: tagency points

Hello experts! I have the following problem. Considering the graphic: with(plots) p1:= contourplot( x*y, x=0..10, y=0..20, contours=20); p2:= contourplot((10-x)*(20-y)^2,, contours=20); display(p1,p2); How could I draw the line containing (all) the tangency points (of the curves of p1 and p2)? It would be possible to do that with Maple? Thanks in advance for your help, Jean Jacques.
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