[" A rariable st.line pass os through the point af interse chica "],[" of lines "x+2y=18x+y=18" Meet the voordinate arres in "],[" the prove that the louns of the midpoint of AB if "],[0xy=n+3y]

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.

If a variable line passes through the point of intersectionof the lines x+2y-1=0 and 2x-y-1=0 and meets the coordinate axes in A and B ,then the locus of the midpoint of AB is : (A)x+3y=0 (B) x+3y=10(C)x+3y=10xy(D) None of these

If a variable line passes through the point of intersectionof the lines x + 2y - 1 = 0 and 2x - y-1 = 0 and meets the coordinate axes in A and B , then the locus of the midpoint of AB is : (A) x + 3y = 0 (B) x + 3y = 10 (C) x + 3y = 10xy (D) None of these

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

The line passing through the point of intersection of x+y=2,x-y=0 and is parallel to x+2y=5, is

Find the equation of a line passing through the point of intersection of lines x-y-1=0 and 2x-3y+1=0 and perpendicular to the line x-2y+5=0 .

Find the equation of a line passing through the point of intersection of lines x-y-1=0 and 2x-3y+1=0 and perpendicular to the line x-2y+5=0 .