Find the curve for which the perpendicular from the foot of the ordinate to the tangent is of constant length.

Find the foot of the perpendicular from the point (2,4) upon x+y=1.

The curve with the property that the projection of the ordinate on the normal is constant and has a length equal to a is

Find the curve for which the length of normal is equal to the radius vector.

Find the coordinates of the foot of the perpendicular P from the origin to the plane 2x-3y+4z-6=0

Given the plane 5x-2y+4z-9=0 i.Find the coordinates of foot of the perpendicular from the origin to the plane. ii. Find the vector equation and the cartesian equation of this perpendicular .

The locus of the foot of perpendicular from the forcus on any tangent to y^(2) = 4ax is

Find the length and the foot of the perpendicular from the point (7,14 ,5) to the plane 2x+4y-z=2.

Find the length of the perpendicular and the coordinates of the foot of the perpendicul from (-10,-2) to the line x+y -2=0

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