,.good day,.,need ur help with this,.,
suppose you know the equations of two lines that intersect at a certain point, and suppose you know the point of intersection,.how will you find the equation of the angle bisector of those lines???thnx,.,.
,.good day,.,need ur help with this,.,
suppose you know the equations of two lines that intersect at a certain point, and suppose you know the point of intersection,.how will you find the equation of the angle bisector of those lines???thnx,.,.
If you can use vector methods then there is a simple solution.
Suppose that $\displaystyle \vec{A}~\&~\vec{B}$ are two two vectors then the vector $\displaystyle \vec{C}=\|\vec{A}\|\vec{B}+\|\vec{B}\|\vec{A}$ bisects the angle between $\displaystyle \vec{A}~\&~\vec{B}$.
if two lines are ax+by+c=0 and dx+ey+f=0 then equation of angle bisector will be
$\displaystyle \frac{ax+by+c}{\sqrt{a^2+b^2}}$ = $\displaystyle \frac{dx+ey+f}{\sqrt{d^2+e^2}}$