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EAMCET Engineering 2008 Solved Paper
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© examsnet.com
Question : 132
Total: 160
The angle between the lines whose direction cosines are
(
√
3
4
,
1
4
,
√
3
2
)
and
(
√
3
4
,
1
4
,
−
√
3
2
)
, is
π
π
2
π
3
π
4
Validate
Solution:
Given that,
l
1
=
√
3
4
,
m
1
=
1
4
and
n
1
=
√
3
2
and
l
2
=
√
3
4
,
m
2
=
1
4
and
n
2
=
−
√
3
2
∴
cos
θ
=
|
l
1
l
2
+
m
1
m
2
+
n
1
n
2
|
=
|
√
3
4
×
√
3
4
+
1
4
×
1
4
+
√
3
2
×
(
−
√
3
2
)
|
=
|
3
16
+
1
16
−
3
4
|
=
|
−
2
4
|
=
1
2
⇒
θ
=
π
3
© examsnet.com
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