Question

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 ......

Answer 1

Let the variable straight line be ax + by + c = 0 ...(i)

where algebraic sum ofperpendiculars from (2, 0), (0, 2) and (1, 1) is zero.

From Eqs. (i) and (ii) ar + by + c = 0 always passes through a fixed point (1, 1).