If the line L passes through point P (1,2) and the distances between M (2,3), n (4, - 5) are equal, then what is the equation of line l A. 4X + y-6 = 0 b.x + 4y-6 = 0 c.3x + 2y-7 = 0 or 4x + y-6 = 0 d.2x + 3y-7 = 0 or x + 4y-6 = 0

If the line L passes through point P (1,2) and the distances between M (2,3), n (4, - 5) are equal, then what is the equation of line l A. 4X + y-6 = 0 b.x + 4y-6 = 0 c.3x + 2y-7 = 0 or 4x + y-6 = 0 d.2x + 3y-7 = 0 or x + 4y-6 = 0

The slope of the straight line Mn K (MN) = - 5-3 / (4-2) = - 4
Midpoint of segment Mn P0 (3, - 1)
There are two lines L,
(1)
Then, L1: Y-2 = - 4 (x-1)
4x+y-6=0
(2)
L2 through Mn midpoint P0 (3, - 1)
K2 = (- 1-2) / (3-1) = - 2 / 3 matches option C;
Select [C]