Wow! Look at the variable line making a locus!
A fixed line intersects the coordinate axes at P(a,0) and Q(0,b).A variable line perpendicular to intersects at R and S.What is the locus of the points of intersection of PS and QR? :-)
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1 solution
Find equation L1 and then write equation L2 like ax-by=k since its perpendicular to L1. Find x and y intercepts.Find equation for PQ and RS.Eliminate k to get locus! done!