The point of intersection of the lines `x/a+y/b=1` and `x/b+y/a=1` lies on the plane

The point of intersection of the lines x/a+y/b =1 and x/b +y/a =1 lies on the line

The point of intersection of the lines x/ay/b =1 and x/b +y/a =1 lines on the line

The point of injtersection of the line x/p+y/q=1 and x/q+y/p=1 lies on the line

The point of injtersection of the line x/p+y/q=1 and x/q+y/p=1 lies on the line

The point of intersection of the lines x/a + y/b = 1 and x/b + y/a = 1 does not lie on the line

What is the equation on the straight line joining the origin to the point of intersection of the lines x/a+y/b=1 and x/b+y/a=1 ?

A variable line through the point of intersection of the lines x/a+y/b=1 and x/b+y/a=1 , meets the co-ordinate axes in A and B, then the locus of mid point of AB is

Find the equation of the straight line passing through the origin and the point of intersection of the lines x/a + y/b = 1 and x/b + y/a = 1.