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

A straight line passes through a fixed point (2, 3).Locus of the foot of the perpendicular on it drawn from the origin is

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 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.

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.

Let the algebraic sum of the perpendicular distances from the point (3,0),(0,3)&(2,2) to a variable straight line be zero,then the line line passes through a fixed point whose coordinates are

If the algebraic sum of the perpendicular distances of the points (4,0),(0,4) and (2,2) form a variable straight line is zero.The line passes through a fixed point (p,q) then 3p+q=