The pair of line can be written as
and
where and
Equations of angle bisectors are given by
The combined equation of the angle bisectors is given by
Simplify and substitute the values of m1+m2 and m1m2.
By considering the set of points P(x, y) that are equidistant from the two lines represented by the equation show that the equation of the pair of angle bisectors of these lines is
I know that the pair of lines that are bisectors are perpendicular to each other and all the lines intersect at the origin. I don't know what else, or how to begin.
Thanks!
The pair of line can be written as
and
where and
Equations of angle bisectors are given by
The combined equation of the angle bisectors is given by
Simplify and substitute the values of m1+m2 and m1m2.