A straight line is such that the algebraic sum of the perpendiculars drawn upon if from any number of fixed points is zero, show that the line always passes through a fixed point.

A straight line moves such that the algebraic sum of the perpendiculars drawn to it from two fixed points is equal to 2k . Then, then straight line always touches a fixed circle of radius. 2k (b) k/2 (c) k (d) none of these

If the algebraic sum of perpendiculars from n given points on a variable straight line is zero then prove that the variable straight line passes through a fixed point

Let the algebraic sum of the perpendicular distance from the points (2, 0), (0,2), and (1, 1) to a variable straight line be zero. Then the line passes through a fixed point whose coordinates are___

A straight 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 straight line moves so that the product of the length of the perpendiculars on it from two fixed points is constant. Prove that the locus of the feet of the perpendiculars from each of these points upon the straight line is a unique circle.

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.

Find the locus of the foot of the perpendicular from the origin to the line which always passes through a fixed point(h, k).

The number of perpendicular that can be drawn to a line from a point not on it is

L is a variable line such that the algebraic sum of the distances of the points (1,1) (2,0) and (0,2) from the line is equal to zero. The line L will always pass through a. (1,1) b. (2,1) c. (1,2) d. none of these

A variable line passes through a fixed point P. The algebraic sum of the perpendiculars drawn from the points (2,0), (0,2) and (1,1) on the line is zero. Find the coordinate of the point P.