Equation of angle bisectors between x and y-axis are
Explanation for the correct option:
Step 1. Find the equation of angle bisector:
As we know,
The equation of the coordinate axes are and
As the coordinate axis intersect at the
the axes are perpendicular to each other which means the angle between them is
So, the angle bisector between the coordinate axes will be at 45° angle and it will pass through the origin.
Step 2. The equation of angle bisector will be:
.....(1)
Or,
From equation (1), we have
or
Thus, the equation of angle bisector is .
Hence, Option ‘A’ is Correct.