[" 7.If a variable line passes through the point of intersection of "],[" 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 mid point "],[" of "AB," is "]

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 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 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

Consider a variable line L which passes through the point of intersection P of the lines 3x+4y=12 and x+2y-5=0 meeting the coordinate axes at points A and B. Then

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 _

If a circle passes through the points of intersection of the axes with the lines ax-y+1=0 and x-2y+3=0 then a=