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CBSE Class 10 Answered

paralllelogrm
Asked by | 15 Jan, 2009, 12:22: PM
answered-by-expert Expert Answer

We know that the  diagonals of a parallelogram bisect each other.

 In this case, suppose M is the point of intersection of the diagonals AC and BD, then M is the mid point AC as well as BD.

So using the mid point formula, we get, M has coordinates (q+8/2,p+3/2) as the mid point of BD

 and also

 M has coordinates(9+6/2,4+1/2) as the mid point of AC.

So equating both coordinates, we get,

q+8/2=15/2

and

p+3/2=5/2

So,

q=7,p=2

Answered by | 15 Jan, 2009, 03:26: PM

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