Partitioning Line Segments via Ratio
Geometry · Flashcards · Application
GEOMETRY · FLASHCARDS
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QUESTION
Find the point dividing
A
(
4
,
0
)
A(4,0)
A
(
4
,
0
)
to
B
(
0
,
8
)
B(0,8)
B
(
0
,
8
)
in ratio
3
:
1
3:1
3
:
1
internally.
QUESTION
Find
P
P
P
on
A
(
0
,
5
)
A(0,5)
A
(
0
,
5
)
to
B
(
8
,
1
)
B(8,1)
B
(
8
,
1
)
such that
A
P
:
P
B
=
3
:
1
AP:PB=3:1
A
P
:
P
B
=
3
:
1
internally.
QUESTION
Find
P
P
P
on
A
(
2
,
−
4
)
A(2,-4)
A
(
2
,
−
4
)
to
B
(
8
,
2
)
B(8,2)
B
(
8
,
2
)
such that
A
P
:
P
B
=
1
:
2
AP:PB=1:2
A
P
:
P
B
=
1
:
2
internally.
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ANSWER
P
(
4
,
−
2
)
P(4,-2)
P
(
4
,
−
2
)
. Apply section formula with ratio
1
:
2
1:2
1
:
2
to both coordinates.
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