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Let ABCD be a parallelogram whose diagonals intersect at P and let O be the origin. What is  equal to?

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Detailed Solution

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Concept:

  • Diagonals of a parallelogram bisect each other.


Calculation:

Since, the diagonals of a parallelogram bisect each other. Therefore, P is the middle point of AC and BD both.

 

         …. (1)

Now,

  

         …. (2)

Adding equation 1 and 2, we get

 

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