Geo3.15

Find the bisecting line of the acute angle between the lines $3x-4y+2=0,-12x+5y-2=0\,$

Equation to the given lines are taken as $3x-4y+2=0,12x-5y+2=0\,$ let this equations be 1 and 2.

Equations to the bisecting lines between given lines are

$\frac{3x-4y+2}{\sqrt{9+16}}=\pm \frac{12x-5y+2}{\sqrt{144+25}}\,$

$39x-52y+26=60x-25y+10 or -60x+25y-10\,$

$21x+27y-16=0\,$