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Byju's Answer
Standard IX
Mathematics
The Coordinates of Centroid
Find the co-o...
Question
Find the co-ordinates of the centroid of the triangle whose vertices are (3,-5) , (4,3) , (11,-4).
A
(4 , -3)
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B
(-6 , 3)
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C
(3 , -2)
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D
(6 , -2)
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Solution
The correct option is
D
(6 , -2)
Here
x
1
=
3
,
x
2
=
4
&
x
3
=
11
And
y
1
=
−
5
,
y
2
=
3
&
y
3
=
−
4
Co-ordinates of centroid
(
x
,
y
)
=
(
x
1
+
x
2
+
x
3
3
,
y
1
+
y
2
+
y
3
3
)
=
(
3
+
4
+
11
3
,
−
5
+
3
−
4
3
)
=
(
18
3
,
−
6
3
)
∴
Centriod of the triangle is (6 , -2).
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Find the co-ordinates of the centroid of the triangle whose vertices are (3,-5) , (4,3) , (11,-4).
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