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UPSC NDA I and II 2020 Math Solved Paper
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© examsnet.com
Question : 14
Total: 120
What is the obtuse angle between the lines whose slopes are
2
−
√
3
and
2
+
√
3
?
[NDA-I 2020]
105
°
120
°
135
°
150
°
Validate
Solution:
👈: Video Solution
Here,
m
1
=
(
2
−
√
3
)
and
m
2
=
(
2
+
√
3
)
.
Obtuse angle between them,
θ
=
tan
−
1
(
m
1
−
m
2
1
+
m
1
.
m
2
)
=
tan
−
1
(
2
−
√
3
−
2
−
√
3
1
+
(
2
−
√
3
)
(
2
+
√
3
)
)
=
tan
−
1
(
−
2
√
3
2
)
=
tan
−
1
(
−
√
3
)
=
120
°
© examsnet.com
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