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

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An Intiative by Sri Chaitanya

P A : P B = 1 : 3

P

is the mid-point of

\bar{A B}

P

is a point of trisection of

\bar{A B}

P

divides

\bar{A B}

answer is A.

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Detailed Solution

Case-I: Case-II:

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$A, B, P$ are not collinear $A, B, P$ are collinear

$∴ P A : P B = 1 : 3$

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