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)dot`

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

If the algebraic sum of the distances of a variable line from the points (2,0),(0,2), and (-2,-2) is zero, then the line passes through the fixed point. (a) (-1,-1) (b) (0,0) (c) (1,1) (d) (2,2)

The algebraic sum of the perpendicular distances from A(x_1, y_1) , B(x_2, y_2) and C(x_3, y_3) to a variable line is zero. Then the line passes through (A) the orthocentre of triangleABC (B) centroid of triangleABC (C) incentre of triangleABC (D) circumcentre of triangleABC

If the product of the perpendiculars drawn from the point (1,1) on the lines ax^(2)+2hxy+by^(2)=0 is 1, then

Tangents are drawn from the points on the line x−y−5=0 to x^2+4y^2=4 , then all the chords of contact pass through a fixed point, whose coordinate are

A variable line passes through a fixed point P. The algebraic sum of the perpendiculars drawn from the points (2,0), (0,2) and (1,1) on the line is zero. Find the coordinate of the point P.

A variable line passes through a fixed point P. The algebraic sum of the perpendiculars drawn from the points (2,0), (0,2) and (1,1) on the line is zero. Find the coordinate of the point P.

If a , b and c are in A P , then the straight line a x+b y+c=0 will always pass through a fixed point whose coordinates are (a) (1,2) (b) (1,-2) (c) (2,3) (d) (0,0)

Find the coordinates of the foot of the perpendicular drawn from the point (1,-2) on the line y=2x+1.