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

The co-ordinates of the foot of the perpendicular from (0, 0) upon the line x+y=2 are

A variable line moves in a plane such a way that the product of the perpendiculars from A(a, 0) and B(0, 0) is equal to lambda^2 , A and B being on same side of variable line. The locus of the feet of the perpendicular from (0, 0) upon the variable line is a circle which has -

The co-ordinates of the foot of the perpendicular from (0, 0) upon the line x + y= 2 are :

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

A variable line cuts pair of lines x^(2)-(a+b)x+ab=0 in such a way that intercept between subtends a right angle at origin.The locus of the foot of the perpendicular from origin on variable line is

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.