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Mathematics
Mathematics
Problem
Let
O
(
0
,
0
)
O(0, 0)
O
(
0
,
0
)
,
P
(
3
,
4
)
P(3, 4)
P
(
3
,
4
)
,
Q
(
6
,
0
)
Q(6, 0)
Q
(
6
,
0
)
be the vertices of the triangle
O
P
Q
OPQ
O
P
Q
. The point
R
R
R
inside the triangle
O
P
Q
OPQ
O
P
Q
is such that the triangles
O
P
R
OPR
O
P
R
,
P
Q
R
PQR
P
QR
,
O
Q
R
OQR
O
QR
are of equal area. The coordinates of
R
R
R
are a.
(
4
3
,
3
)
\left(\frac{4}{3}, 3\right)
(
3
4
,
3
)
b.
(
3
,
2
3
)
\left(3, \frac{2}{3}\right)
(
3
,
3
2
)
c.
(
3
,
4
3
)
\left(3, \frac{4}{3}\right)
(
3
,
3
4
)
d.
(
4
3
,
2
3
)
\left(\frac{4}{3}, \frac{2}{3}\right)
(
3
4
,
3
2
)
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