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.

Find the equation of the straight line upon which the length of the perpendicular from the origin is 5a n d the slope of this perpendicular is 3/4dot

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

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)dot

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

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

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 equation of a line with slope 2 and the length of the perpendicular form the origin equal to sqrt(5) .

For the straight line 8x-15y + 51 = 0, find the length of the perpendicular from the origin to this line and the inclination of this perpendicular with the x-axis.

A circle of radius 'r' passes through the origin O and cuts the axes at A and B,Locus of the centroid of triangle OAB is