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Question -

Find the equations of the bisectors of the angles between the coordinate axes.



Answer -

There are two bisectorsof the coordinate axes.

Their inclinationswith the positive x-axis are 45o and 135o

The slope of thebisector is m = tan 45o or m = tan 135o

i.e., m = 1 or m = -1,c = 0

By using the formula,y = mx + c

Now, substitute thevalues of m and c, we get

y = x + 0

x – y = 0 or y = -x +0

x + y = 0

The equation of thebisector is x ± y = 0

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