First slide

Cartesian plane

Question

The points $A, B, P$ may or may not be collinear if

Moderate

A

$P A : P B = 1 : 5$
B

$P$ is the mid–point of $\bar{A B}$
C

$P$ is a point of trisection of $\bar{A B}$
D

$P$ divides $\bar{A B}$

Solution

If $P A : P B = 1 : 5$ then $P, A, B$ are may or may not collinear

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