question_answer

Supposed is a line segment and points P and Q are nearer to A and B on a line segment AB such that \[\text{AP}=\text{PQ}=\text{QB},\]then P divides the line segment in the ratio:

A) \[1:2\]

B) \[2:1\]

C) \[3:1\]

D) \[1:3\]

Correct Answer: A

Solution :

[a]

\[AP=PQ=QB\]

\[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,AP:PB=1:2\]

and       \[AQ:QB=2:1\]

So, P divides the Line segment in the ratio\[1:2\].