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 line through the point of intersection of the lines (x)/(a)+(y)/(b)=1 and (x)/(b)+(y)/(a)=1 meets the coordinate axes in A and B.Show that the locus of the midpoint of AB is the curve 2xy(a+b)=ab(x+y)

A variable line through the point of intersection of the lines (x)/(a)+(y)/(b)=1 and (x)/(b)+(y)/(a)=1 meets the coordinate axes in A and B.Show that the locus of the midpoint of AB is the curve 2xy(a+b)=ab(x+y)

A variable line through the point of intersection of the lines (x)/(a)+(y)/(b)=1 and (x)/(b)+(y)/(a)=1 meets the coordinate axes in A and B.Show that the locus of the midpoint of AB is the curve 2xy(a+b)=ab(x+y)

A variable line through the point of intersection of the lines (x)/(a)+(y)/(b)=1 and (x)/(b)+(y)/(a)=1 meets the coordinate axes in A and B.Show that the locus of the midpoint of AB is the curve 2xy(a+b)=ab(x+y)

A variable line through the point of intersection of the lines (x)/(a)+(y)/(b)=1 and (x)/(b)+(y)/(a)=1 meets the coordinate axes in 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 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.

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)