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Mathematics
Problem
In the
Δ
O
A
B
\Delta OAB
Δ
O
A
B
,
M
M
M
is the mid-point of
A
B
AB
A
B
,
C
C
C
is a point on
O
M
OM
O
M
, such that
2
O
C
=
C
M
2OC = CM
2
O
C
=
C
M
.
X
X
X
is a point on the side
O
B
OB
O
B
such that
O
X
=
2
X
B
OX = 2XB
O
X
=
2
X
B
. The line
X
C
XC
X
C
is produced to meet
O
A
OA
O
A
in
Y
Y
Y
. Then,
O
Y
Y
A
\frac{OY}{YA}
Y
A
O
Y
is equal to a.
7
3
\frac{7}{3}
3
7
b.
2
7
\frac{2}{7}
7
2
c.
3
2
\frac{3}{2}
2
3
d.
2
5
\frac{2}{5}
5
2
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