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Mathematics
Mathematics
Problem
Let
A
(
0
,
0
)
A(0,0)
A
(
0
,
0
)
,
B
(
6
,
0
)
B(6,0)
B
(
6
,
0
)
and
C
(
0
,
6
)
C(0,6)
C
(
0
,
6
)
. Point
P
P
P
divides
B
C
BC
B
C
internally in the ratio
1
:
2
1:2
1
:
2
. The ratio of the areas
[
△
A
B
P
]
:
[
△
A
B
C
]
[\triangle ABP]:[\triangle ABC]
[
△
A
B
P
]
:
[
△
A
B
C
]
is a)
1
:
2
1:2
1
:
2
b)
2
:
3
2:3
2
:
3
c)
1
:
3
1:3
1
:
3
d)
1
:
4
1:4
1
:
4
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