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Q.

ABCD is a parallelogram whose diagonals meet at P.  If  O is a fixed point, then OA+OB+OC+OD equals 

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a

OP

b

2OP

c

3OP

d

4OP

answer is D.

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Detailed Solution

Since, P bisects both the diagonals AC and BD, so

OA+OC=2OP and OB+OD=2OPOA+OB+OC+OD=4OP

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ABCD is a parallelogram whose diagonals meet at P.  If  O is a fixed point, then OA→+OB→+OC→+OD→ equals