A straight line moves in such a way that the length of the perpendicular upon it from the origin is always `p`. Find the locus of the centroid of the triangle which is formed by the line and the axes.

A straight line moves so that the product of the length of the perpendiculars on it from two fixed points is constant.Prove that the locus of the feet of the perpendiculars from each of these points upon the straight line is a unique circle.

If 'p' is the length of the perpendicular drawn from the origin upon a straight line then the locus of mid point of the portion of the line intercepted between the coordinate axes is

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 length of the perpendicular drawn from the point (4,5) upon the straight line 3x+4y=10

Find the length of the perpendicular fdrawn from the origin upon the line joining the points (a, b) and (b, a)?

A straight line passes through a fixed point (2, 3).Locus of the foot of the perpendicular on it drawn from the origin is

Find the equation of the straight line upon which the length of the perpendicular from the origin is 5 and the slope of this perpendicular is (3)/(4).

If the foot of the perpendicular from the origin to a straight line is at (3,-4), then find the equation of the line.

Find the equation of the straight line upon which the length of the perpendicular from the origin is 2 and the slope of this perpendicular is (5)/(12) .