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Byju's Answer
Standard XII
Mathematics
Angle between Two Lines
Find the acut...
Question
Find the acute angle between the lines
√
3
x
+
y
=
1
and
x
+
√
3
y
=
1
.
Open in App
Solution
L
1
:
√
3
x
+
y
=
1
;
L
2
:
x
+
√
3
y
=
1
m
1
=
−
√
3
;
m
2
=
1
√
3
tan
θ
=
∣
∣
∣
m
1
−
m
2
1
+
m
1
m
2
∣
∣
∣
=
∣
∣ ∣ ∣ ∣ ∣
∣
−
√
3
−
1
√
3
1
+
(
−
√
3
)
(
−
1
√
3
)
∣
∣ ∣ ∣ ∣ ∣
∣
=
∣
∣ ∣ ∣ ∣
∣
−
3
−
1
√
3
1
+
1
∣
∣ ∣ ∣ ∣
∣
=
−
4
√
3
2
1
=
−
2
√
3
∴
tan
θ
=
−
2
√
3
∴
θ
=
tan
−
1
(
−
2
√
3
)
.
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0
Similar questions
Q.
Find the angles between the lines
√
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Q.
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