A straight line through the point of intersection of the lines x + 2y = 4 and 2 x + y = 4 meets the coordinate axes at A and B .the locus of the midpoint of AB is _

A straight line through the point of intersection of the lines x+2y = 4 and 2x +y =4 meets the coordinates axes at A and B. The locus of the midpoint of AB is

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

A variable straight line passes through the points of intersection of the lines x+2y=1 and 2x-y=1 and meets the co-ordinates axes in A and B. Prove that the locus of the midpoint Of AB is 10xy=x+3y.

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 line drawn throgh the point of intersection of the lines x/a+y/b=1,x/b+y/a=1 meets the coordinate axes in A and B. Then the locus of midpoint of AB is

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.

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)