A straight line cuts intercepts from the axes of coordinates the sum of whose reciprocals is a constant. Show that it always passes though as fixed point.

A st.line cuts intercepts from the axes,the sum of the reciprocals of which equals 4. Show that it always passes through a fixed pt.Find that fixed point.

A straight line cuts intercepts from the coordinate axes sum of whose reciprocals is (1)/(p). It passses through a fixed point

Astraight line moves so that the sum of the reciprocals of its intercepts made on axes is constant. Show that the line passes through a fixed point.

A variable plane moves in such a way that the sum of the reciprocals of its intercepts on the three coordinate axes is constant.Show that the plane passes through a fixed point.

A straight line passes through the fixed point (2,2) .The sum of the reciprocals of it's intercepts on the coordinate axes is

A straight line moves so that the sum of the reciprocals of its intercepts on two perpendicular lines is constant then the line passes through-

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 cuts n given concurrent straight lines at A_(1),A_(2)...A_(n) such that sum_(i=1)^(n)(1)/(OA_(i)) is a constant.Show that A,A,A such it always passes through a fixed point,O being the point of intersection of the lines