Angular Bisector

Geometry Level 1

if 2x+y-4=0 is bisector of angles between the lines a(x-1)+b(y-2)=0 and c(x-1) + d(y-2)=0 then find other angular bisector.

x+2y-5=0 x-2y+3=0 x-2y-3=0 x-2y+1=0

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1 solution

Akshay Bodhare
Aug 1, 2014

the two angle bisectors of lines are mutually perpendicular.therefore product of slopes is 0.Also point of intersection of lines is (1,2).Thus,equation of other angle bisector can be found by slope point form

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