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 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

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

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___

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

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

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

Find the equation of line passing through points A(0,6,- 9) and B(-3,- 6,3). If D is the foot of perpendicular drawn from the point C (7,4,-1) on the line AB, then find the coordinates of point D and equation of line CD.

The product of the perpendiculars drawn from the point (1,2) to the pair of lines x^(2)+4xy+y^(2)=0 is

Find the equation of the perpendicular drawn from the point P(2,\ 4,\ -1) to the line (x+5)/1=(y+3)/4=(z-6)/(-9) Also, write down the coordinates of the foot of the perpendicular from Pdot

L is a variable line such that the algebraic sum of the distances of the points (1,1) (2,0) and (0,2) from the line is equal to zero. The line L will always pass through a. (1,1) b. (2,1) c. (1,2) d. none of these