A variable line passes thorugh 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 coordinates of P.

Find the product of the perpendiculars drawn from the point (x_1,y_1) on the lines ax^2+2hxy+by^2=0

Find the foot of the perpendicular from the point (-1, 2) on the st. line x- y +5 =0.

Find the equation of the perpendicular drawn from the point (2,4,-1) to the line (x+5)/1=(y+3)/4=(z-6)/-9

Find the equations of the perpendicular drawn from the point (2,4,-1) to the line : (x+5)/1=(y+3)/4=(z-6)/-9

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

Find the coordinates of the foot of the perpendicular drawn from the point (2,3) to the line y=3x+4

The number of perpendicular that can be drawn from a point not on the line are

Find the length of the perpendicular drawn from point (2,3,4) to line (4-x)/2=y/6=(1-z)/3dot

Prove that the product of the lengths of the perpendiculars drawn from the points (sqrt(a^2-b^2), 0) and (-sqrt(a^2-b^2), 0) to the line x/a cos theta+y/b sin theta=1 is b^2 .