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Question

ABC is a triangle and P is any point on BC. If PQ is the resultant of the vectors AP,PB and PC then ACQB is :

A
rectangle
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B
square
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C
rhombus
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D
parallelogram
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Solution

The correct option is D parallelogram
As, we have
PQ=AP+PB+PC
PQPB=AP+PC
PQPB=PA+PC
BQ=AC(i)
Similarly,
PQPC=AP+PB
CQ=AB(ii)
So, ACQB is parallelogram

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