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Joint Entrance Examination
Mathematics
Straight Lines and Pair of Straight Lines
Question 178
Question 178 of 303
Easy
MCQ
A triangle has a vertex at
(
1
,
2
)
(1,2)
(
1
,
2
)
and the mid points of the two sides through it are
(
−
1
,
1
)
(-1,1)
(
−
1
,
1
)
and
(
2
,
3
)
(2,3)
(
2
,
3
)
. Then the centroid of this triangle is:
A
(
1
,
7
3
)
\left(1,\dfrac73\right)
(
1
,
3
7
)
B
(
1
3
,
2
)
\left(\dfrac13,2\right)
(
3
1
,
2
)
C
(
1
3
,
1
)
\left(\dfrac13,1\right)
(
3
1
,
1
)
D
(
1
3
,
5
3
)
\left(\dfrac13,\dfrac53\right)
(
3
1
,
3
5
)
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Official solution
Centroid = \[\left( {{{1 + 3 - 3} \over 3},{{2 + 0 + 4} \over 3}} \right) = \left( {{1 \over 3},2} \right)\]
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