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Tardigrade
Question
Mathematics
In triangle ABC, co-ordinates of A are (-1,3) and equations of medians and altitude through point B are 2 x+y=8 and 2 x+3 y=8 respectively, then
Q. In triangle
A
BC
, co-ordinates of
A
are
(
−
1
,
3
)
and equations of medians and altitude through point
B
are
2
x
+
y
=
8
and
2
x
+
3
y
=
8
respectively, then
607
156
Straight Lines
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A
coordonates of
B
are
(
4
,
0
)
B
coordinates of
B
are
(
3
,
9
)
C
coordinates of
C
are
(
3
,
9
)
D
coordinates of centroid are
(
2
,
4
)
Solution:
A
C
:
3
x
−
2
y
=
k
−
3
−
6
=
k
∴
k
=
−
9
3
x
−
2
y
=
−
9
M
:
(
1
,
6
)
∴
C
(
3
,
9
)
G
(
2
,
4
)
.
