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Byju's Answer
Standard XII
Mathematics
Axis
Find the equa...
Question
Find the equation of the bisector of the angle made by the
x
−
axis and
y
−
axis.
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Solution
The equation of the coordinate axis are
x
=
0
and
y
0
and intersect at the origin
(
0
,
0
)
.
The axis are perpendicular to each other and hence the angle between them is
90
o
.
So, the bisector of the angle between the coordinate axis will be
45
o
and it will passes through the origin.
Thus, the required equation of bisector would be
y
=
±
x
using
y
=
m
x
,
m
=
tan
θ
θ
=
45
o
.
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