Find equation of the perpendicular bisector of segment joining the points (2,-5) and (0,7)?
A x - 6y = 5
B x + 6y = -5
C x - 6y = -5
D x + 6y = 5
Let line perpendicularly bisects line joining A(2,-5) and B(0,7) at C, thus C is the mid point of AB.
=> Coordinates of C =
Now, slope of AB =
Let slope of line
Product of slopes of two perpendicular lines = -1
Equation of a line passing through point and having slope is
Equation of line
=> Ans - (C)
Find equation of the perpendicular to segment joining the points A(0,4) and B(-5,9) and passing through
the point P. Point P divides segment AB in the ratio 2:3.
A x - y = 8
B x - y = -8
C x + y = -8
D x + y = 8
Using section formula, the coordinates of point that divides line joining A = and B = in the ratio a : b