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AP EAMCET Engineering 20 Apr 2019 Shift 1 Paper
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Section:
Mathematics
© examsiri.com
Question :
29 of 160
Marks:
+1
,
-0
If
4
→
i
+
7
→
j
+
8
→
k
,
2
→
i
+
3
→
j
+
4
→
k
,
2
→
i
+
5
→
j
+
7
→
k
are respectively the position vectors of the vertices A , B , C of Δ ABC , then the position vector of the point where the bisector of angle A meet
→
B
C
is
2
→
i
+
13
3
→
j
+
2
→
k
2
→
i
−
13
3
→
j
+
6
→
k
2
→
i
+
13
→
j
+
6
→
k
2
→
i
+
13
3
→
j
+
6
→
k
Validate
Solution:
The bisector of angle
A
divides the
B
C
in ratio
c
:
b
,
where
c
‌
‌
=
A
B
‌
‌
=
√
4
+
16
+
16
‌
‌
=
6
And,
b
‌
‌
=
A
C
‌
‌
=
√
4
+
4
+
1
‌
‌
=
3
The position vector of the point where bisector of A meet BC is,
‌
6
(
2
i
+
5
j
+
7
k
)
+
3
(
2
i
+
3
j
+
4
k
)
6
+
3
‌
‌
=
‌
18
i
+
39
j
+
54
k
9
=
2
i
+
‌
13
3
j
+
6
k
© examsiri.com
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