If the algebraic sum of perpendiculars from n given points on a variable straight line is zero then prove that the variable straight line passes through a fixed point

Let the algebraic sum of the perpendicular distances from the point (3,0),(0,3)&(2,2) to a variable straight line be zero,then the line line passes through a fixed point whose coordinates are

Let the algebraic sum of the perpendicular distance from the points (2,0),(0,2), and (1,1) to a variable straight line be zero.Then the line passes through a fixed point whose coordinates are

If the algebraic sum of the perpendiculars from the points (2,0),(0,2),(1,1) to a variable line be zero,then prove that line passes through a fixed-point whose coordinates are (1,1) .

If the algebraic sum of the perpendiculars from the points (2,0),(0,2),(1,1) to a variable be zero,then prove that the line passes through a fixed-point whose coordinates are (1,1)

Let the algebraic sum of the perpendicular distances from the points (2,0),(0,2) and (1,1) to a variable straight line be zero.Then the line pass through a fixed point whose coordinates are (1,1) b.(2,2) c.(3,3) d.(4,4)

If the algebraic sum of the perpendicular distances of the points (4,0),(0,4) and (2,2) form a variable straight line is zero.The line passes through a fixed point (p,q) then 3p+q=

If the algebraic sum of the perpendicular distances from the points (2.0)(0,2) and (4.4) to a variable line is ' ^(prime0) ' then the line passes through the fixed point

A_(1)(x_(1),y_(1)),A_(2)(x_(2),y_(2)),A_(3)(x_(3),y_(3)) ……….are a point in a plane such that If a straight line be such that algebraic sum of the perpendicular drawn from the points A_(1),A_(2),……………A_(n) is zero then prove that the straight line passes is the centroid G of the given points.