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Mathematics
Problem
For a point P that divides a line segment AB internally in the ratio
1
:
2
1:2
1
:
2
, which of the following relations between the lengths AP and PB is always true? a)
A
P
=
1
2
P
B
AP = \dfrac{1}{2}\, PB
A
P
=
2
1
P
B
b)
A
P
=
2
P
B
AP = 2\, PB
A
P
=
2
P
B
c)
P
B
=
1
2
A
P
PB = \dfrac{1}{2}\, AP
P
B
=
2
1
A
P
d)
A
P
=
1
3
P
B
AP = \dfrac{1}{3}\, PB
A
P
=
3
1
P
B
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