Thread: Find the equations of the two bisectors of the angles

Find the equations of the two bisectors of the angles for 3x + 4y = 0 and 5x - 12y + 1 = 0

How do I get started on this?

Thanks

Originally Posted by differentiate

Find the equations of the two bisectors of the angles for 3x + 4y = 0 and 5x - 12y + 1 = 0

How do I get started on this?

Thanks

Since the angle bisector of two lines is the locus of all points equidistant from both angle's legs , we must have that any point on the bisector must be equidistant from both lines, i.e.:

, one of these is the bisector's equation of the acute angle

and the other one the bisector's eq. of the obtuse one.

Tonio