Q. 33.7( 10 Votes )
Find the equations of the bisectors of the angles between the coordinate axes.
Answer :
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 
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
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