Question

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

Answer 1

To Find: Equations of bisectors of the angles between coordinate axes. 

Formula Used: The equation of line is y = mx + c 

Diagram:

Explanation: 

Co–ordinate axes make an angle of 90˚ with each other. 

So the bisector of angles between co–ordinate axes will subtend = 90˚/2 = 45˚

Now, we can see that there are two bisectors. 

Angles subtended from x–axis are: 90˚ and 135˚ 

And there is no intercept, c = 0 

Equations are: 

y = tan45˚x and y = tan135˚x 

y = x and y = –x 

Hence, the equations of bisectors of angle between coordinate axis are y = x and y = –x