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UPSC NDA Math Model Paper 8
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© examsnet.com
Question : 20
Total: 120
If the centroid of a triangle formed by (4,x), (y,-5) and (7, 8) is (3, 5), then the values of x and y are respectively
2, 12
-12, 13
12, -2
13, -2
Validate
Solution:
Here, vertices of triangle (4,x), (y,-5) and (7, 8) and Centroid = (3, 5)
S
o
,
3
=
4
+
y
+
7
3
⇒
11
+
y
=
9
⇒
y
=
−
2
And,
5
=
x
−
5
+
8
3
⇒
x
+
3
=
15
⇒
x
=
12
∴
x
=
12
, and
y
=
−
2
Hence, option (3) is correct.
© examsnet.com
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