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TS EAMCET 4 May 2018 Shift 1 Solved Paper
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Section:
Mathematics
© examsiri.com
Question :
32 of 160
Marks:
+1
,
-0
If the position vectors of three points A, B , C respectively are
→
i
+
2
→
j
+
→
k
,
2
→
i
−
→
j
+
2
→
k
and
→
i
+
→
j
+
2
→
k
, then the perpendicular distance of the point C from the line AB is
√
3
11
√
4
11
√
6
11
√
8
11
Validate
Solution:
Consider the given vectors,
A
(
^
i
+
2
^
j
+
^
k
)
,
B
(
2
^
i
−
^
j
+
2
^
k
)
,
and
C
(
^
i
+
^
j
+
2
^
k
)
.
The perpendicular distance of point
C
from line
A
B
is calculated as
d
=
|
|
^
i
^
j
^
k
1
−
3
1
0
−
1
1
|
|
√
1
+
9
+
1
=
|
−
2
^
i
−
^
j
−
^
k
|
√
11
=
√
4
+
1
+
1
√
11
=
√
6
11
© examsiri.com
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