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AP EAPCET 08-Jul-2022 Shift 1 Paper
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© examsnet.com
Question : 29
Total: 160
A
(
2
,
1
,
2
)
,
B
(
1
,
0
,
0
)
,
C
(
1
+
√
3
,
√
3
,
−
√
6
)
are vertices of a triangle. If the length of the median drawn through
A
is
λ
√
9
−
2
√
3
+
2
√
6
then
λ
=
4
3
2
1
Validate
Solution:
👈: Video Solution
D is mid - point od BC
Coordinate of
D
is
(
1
+
1
+
√
3
2
,
√
2
2
,
√
3
2
,
−
√
6
2
)
⇒
(
2
+
√
3
2
,
√
3
2
,
√
6
2
)
A
D
=
√
(
2
+
√
3
2
−
2
)
2
+
(
√
3
2
−
1
)
2
+
(
−
√
6
2
−
2
)
2
=
1
2
√
(
√
3
−
2
2
+
(
√
3
−
2
)
2
+
(
−
√
6
−
4
)
2
=
1
2
√
3
+
4
−
4
√
3
+
3
+
4
−
4
√
3
+
6
+
16
+
8
√
6
=
1
2
√
36
−
8
√
3
+
8
√
6
=
√
9
−
2
√
3
+
2
√
6
Compare it
λ
√
9
−
3
√
3
+
2
√
6
, we get
λ
=
1
© examsnet.com
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