Find the point of intersection of the straight lines `x/a+y/b=1` and `x/b+y/a=1, (a!=+-b)`

Find the point of inersection of the straight line x/a + y/b = 1 and x/b + y/a = 1

A variable straight line is drawn through the point of intersection of the straight lines x/a+y/b=1 and x/b+y/a=1 and meets the coordinate axes at A and Bdot Show that the locus of the midpoint of A B is the curve 2x y(a+b)=a b(x+y)

A variable straight line is drawn through the point of intersection of the straight lines x/a+y/b=1 and x/b+y/a=1 and meets the coordinate axes at A and Bdot Show that the locus of the midpoint of A B is the curve 2x y(a+b)=a b(x+y)

Find the point of intersection of the straight lines : x/3-y/4=0, x/2+y/3 =1 .

A variable straight line drawn through the point of intersection of the straight lines x/a+y/b=1 and x/b+y/a=1 meets the coordinates axes at A and B. Show that the locus of the mid point of bar(AB) is 2(a+b)xy=ab(x+y) .

A variable straight line passes through the point of intersection of the straight lines (x)/(a)+(y)/(b)=1 and (x)/(b)+(y)/(a)=1 and intersects the axes at P and Q. Find the locus of midpoint of PQ.

The equation of the straight line passing through the point of intersection of the straight lines x/a+x/b=1 and x/b+y/a=1 and having infinite slope is

A variable straight line passes through the point of intersection of the staright lines x/a+y/b=1 and x/b+y/a=1 and intersects the axes at P and Q.Find the locus of mid-point of Pq.