Find the locus of the foot of perpendicular from the point (2, 1) on the variable line passing through the point (0, 0).

Find the coordinates of the foot of perpendicular from the point (-1, 3) to the line 3x - 4y - 16 = 0 .

The foot of the perpendicular from the point (3,4) on the line 3x – 4y + 5 = 0 is

Find the equation of the lines passing through the point (1,1) and (-2,3)

Find the equation of a line perpendicular to the line x - 2y + 3 = 0 and passing through the point (1, -2) .

A variable line moves in such a way that the product of the perpendiculars from (4, 0) and (0, 0) is equal to 9. The locus of the feet of the perpendicular from (0, 0) upon the variable line is a circle, the square of whose radius is

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 equation of the line passing through the points (1,2,3)a n d(-1,0,4)dot

Find the vector equation for the line passing through the points (-1,0,2) and (3,4,6).

Find the distance of the point (2, 3, -2) from the point of intersection of the straight line passing through the points A(3, 0, 1) and B(6, 4, 3) with the plane x+y-z=7 .