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Byju's Answer
Standard XII
Mathematics
Angle between Pair of Straight Lines
The angle bet...
Question
The angle between the lines
x
2
−
x
y
−
6
y
2
−
7
x
+
31
y
−
18
=
0
is
A
60
o
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B
45
o
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C
30
o
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D
90
o
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Solution
The correct option is
B
45
o
In the equation of pair of straight lines
a
x
2
+
b
y
2
+
2
h
x
y
+
2
g
x
+
2
f
y
+
c
=
0
,
the angle between the lines is
θ
and
tan
(
θ
)
=
2
√
h
2
−
a
b
a
+
b
Here,
a
=
1
,
b
=
−
6
,
h
=
−
1
2
∴
tan
(
θ
)
=
2
×
√
1
4
+
6
1
−
6
=
±
2
×
5
2
−
5
=
±
1
∴
θ
=
45
o
either in the clockwise or anticlockwise sense.
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If
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12
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