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 perpendicular from the origin to a straight line is at the point (3,-4),then the equation of the line is ___

The variable coefficients a, b in the equation of the straight line (x)/(a) + (y)/(b) = 1 are connected by the relation (1)/(a^(2)) + (1)/(b^(2)) = (1)/(c^(2)) where c is a fixed constant. Show that the locus of the foot of the perpendicular from the origin upon the line is a circle. Find the equation of the circle.

The foot of the perpendicular drawn from the origin to a plane is (2, -3, 4), then the equation of the plane is -

The perpendicular from the origin to a line meets it at the point (2,9) , find the equation of the line.

The perpendicular from the origin to a line meets it at the point (-2, 9) find the equation of the line.

The coordinates of the foot of the perpendicular drawn from the origin upon a line are (h,k) , show that the equation of the line is hx+ky=h^(2)+k^(2)(h^(2)+k^(2)ne0) .

Find the locus of the foot of the perpendicular drawn from the origin to the straight line which passes through the fixed point (a,b).

Find the locus of the foot of the perpendicular from the origin upon a stright line which always passes through the point (2,3).

Find the locus of the foot of the perpendicular from the point (a,0) to the straight line x-ty+at^(2)=0 , t being variable.

Find the foot of the perpendicular from the point (-2,6) on the straight line 2x+3y =1 . What are the coordinates of the point which is the image of (-2,6) with respect to given line.