Questions
The equation of the bisector of the acute angle between the lines 2x - y + 4 = 0 and x - 2y = 1 is
detailed solution
Correct option is B
Clearly, from the figure, the origin is contained in the acute angle. Writing the equations of the lines as 2x - y + 4 = 0and -x + 2y + 1 = 0, here a1a2+b1b2=2-1+-12=-4<0, the required acute angular bisector is 2x−y+45=−x+2y+15 make c1 c2 >0 , 1 if a1a2+b1b2>0 then acute angular bisector isa1x+b1y+c1a21+b21=-a2x+b2y+c2a22+b22 2 if a1a2+b1b2<0 then acute angular bisector is a1x+b1y+c1a21+b21=+a2x+b2y+c2a22+b22Talk to our academic expert!
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