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Byju's Answer
Standard XII
Mathematics
Two Point Form of a Line
State True or...
Question
State True or False:
The lines
x
=
y
and
x
=
−
y
are perpendicular to each other.
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Solution
The given lines are
x
=
y
and
x
=
−
y
For
x
=
y
x
0
1
−
1
−
2
2
3
−
3
y
0
1
−
1
−
2
2
3
−
3
For
x
=
−
y
x
0
1
−
1
−
2
2
3
−
3
y
0
−
1
1
2
−
2
−
3
3
Let's plot these points on the graph, we get the graph shown above.
Both the lines intersect at zero and makes an angle of
90
o
with each other.
Hence, they are perpendicular to each other.
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Two Point Form of a Line
Standard XII Mathematics
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