x2=y , y2=x
these intersect at 2 real points:
x4-x=0 => x(x3-1)=0
0 and 1
now slope of tangents at the two curves:
x2=y => dy/dx=2x ---------- #1
y2=x => dy/dx=1/2y ---------#2
now see tangent slopes at the points of intersections.
if they satisfy m1.m2=-1 then they are orthogonal.. else not..
here these curves are not orthogonal [error ... ].