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TS EAMCET 04 May 2019 Shift 2 Solved Paper
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Section:
Mathematics
© examsiri.com
Question :
30 of 160
Marks:
+1
,
-0
If the angle between the vectors
2
α
2
^
i
+
4
α
^
j
+
^
k
and
7
^
i
−
2
^
j
+
α
^
k
is obtuse , then
α >
1
2
0 < α <
1
2
α < 0
|α| <
1
2
Validate
Solution:
Consider the vectors,
2
α
2
i
+
4
α
j
+
k
And
7
i
−
2
j
+
α
k
The angle between them is obtuse.
Therefore,
cos
‌
θ
<
0
(
2
α
2
i
+
4
α
j
+
k
)
(
7
i
−
2
j
+
α
k
)
[
2
α
2
i
+
4
α
j
+
k
]
[
7
i
−
2
j
+
α
k
]
<
0
14
α
2
−
8
α
+
α
<
0
7
α
(
2
α
−
1
)
<
0
Hence,
α
∈
(
0
,
‌
1
2
)
So.
0
<
α
<
‌
1
2
© examsiri.com
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