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The equations of bisectors of two lines ...

The equations of bisectors of two lines `L_1 & L_2` are `2x-16y-5=0` and `64x+ 8y+35=0`. lf the line `L_1` passes through `(-11, 4)`, the equation of acute angle bisector of `L_1` & `L_2` is:

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From the figure,
`d_(1) = (|2(-11)-16(4)-5|)/(sqrt(4+256)) = (91)/(2sqrt(65)) ~= 5.6 " " (1)`
`d_(2) = (|64(-11)+8(4)+35|)/(sqrt((64)^(2)+8^(2))) = (637)/(64.49) ~= 9.87 " " (2)`
`d_(1) lt d_(2)`
Therefore, 2x-16y-5=0 is acute angle bisector and 64x+8y+35=0 is obtuse angle bisector.
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