All the lines whose sum of reciprocal of intercepts is k will be concurrent at the point

Find the equation of the curve passing through the point, (5,4) if the sum of reciprocal of the intercepts of the normal drawn at any point P(x,y) on it is 1.

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.

If the centroid of the triangle ABC is at the origin and algebraic sum of the lengths of the perpendiculars from the vertices of the triangle ABC on the variable line L is equal to 1 then sum of the squares of the reciprocals of the intercepts made by L on the coordinate axes is equal to

A man on the straight line whose arithmetic mean of reciprocal of intercepts on the axes is 1/4 . There are 3 marbles at A (1,1) , B(2,2) , C(4,4) . Then which marble lie on its path

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-

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 so that the sum of the reciprocals of its intercepts on the coordinate axes is (1//2) . Then, the plane passes through the point