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

Asked by Aaryan | 1 year ago |  43

##### Solution :-

There are two bisectors of the coordinate axes.

Their inclinations with the positive x-axis are 45° and 135°

The slope of the bisector is m = tan 45° or m = tan 135°

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

By using the formula, y = mx + c

Now, substitute the values of m and c, we get

y = x + 0

x – y = 0 or y = -x + 0

x + y = 0

The equation of the bisector is x ± y = 0

Answered by Aaryan | 1 year ago

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