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Let ABCD be a parallelogram. Let X and Y...

Let ABCD be a parallelogram. Let X and Y be the midpoints of the sides BC and AD respectively. Let M and N be the midpoints of the sides AB and CD respectively.
Consider the following statements :
1. The straight line MX cannot be parallel to YN.
2. The straight lines AC, BD, XY and MN meet at a point.
Which of the above statements is/are correct?

A

1 only

B

2 only

C

Both 1 and 2

D

Neither 1 nor 2

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