A variable line makes intercepts on the coordinate axes the sum of whose squares is constant and is equal to a . Find the locus of the foot of the perpendicular from the origin to this line.

A variable line makes intercepts on the coordinate axes the sum of whose squares is constant and is equal to a^2 . Find the locus of the foot of the perpendicular from the origin to this line.

A variable line makes intercepts on the co-ordinate axes , the sum of whose squares is constant and equal to k^2 . Show that the locus of the foot of the perpendicular from the origin to this line is (x^2+ y^2)^2 (x^(-2)+ y^(-2))=k^2 .

A variable line passes through the fixed point (alpha,beta) . The locus of the foot of the perpendicular from the origin on the line is,

A variable line passes through the fixed point (alpha,beta) . The locus of the foot of the perpendicular from the origin on the line is

A straight line passes through a fixed point (6, 8). Find the locus of the foot of the perpendicular on it drawn from the origin is.

A variable straight line passes through a fixed point (h,k). Find the locus of the foot of the perpendicular on it drawn from the origin.

A straight line passes through a fixed point (6,8) : Find the locus of the foot of the perpendicular drawn to it from the origin O.