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USA - Geometry Coordinate geometry

Partition of a directed line segment in a given ratio

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Questions
Question 1
182361
A point \(P\) partitions the directed segment from \(A\) to \(B\) so that \(AP:PB = 2:3\). \(P\) is what \(\textbf{fraction}\) of the way from \(A\) to \(B\)?
A.
\(\dfrac{3}{5}\)
B.
\(\dfrac{2}{5}\)
C.
\(\dfrac{2}{3}\)
D.
\(\dfrac{5}{2}\)
\(\dfrac{2}{5}\)

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