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.

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.

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 B. Show that the locus of the midpoint of AB is the curve 2xy(a+b)=ab(x+y)

A variable straight line through the point of intersection of the two lines (x)/(3)+(y)/(2)=1and(x)/(2)+(y)/(3)=1 meets the coordinate axes at A and B . Find the locus of the middle point of AB.

The straight line passing through the point of intersection of the straight line x+2y-10=0 and 2x+y+5=0 is

The straight line passing through the point of intersection of the straight line x+2y-10=0 and 2x+y+5=0 is

The straight line passing through the point of intersection of the straight line x+2y-10=0 and 2x+y+5=0 is

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)

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