Question

If the points A(6,1),B(8,2),C(9,4) and D(p,3) are the vertices of a parallelogram ,taken in order find the value of p

Answer 1

Hello Friend....

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The answer of u r question...

Ans:

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

so,

The coordinator of the midpoint of AC = coordinate of the midpoint of BD

I.e....,
$( \frac{6 + 9}{2} . \frac{1 + 4}{2} ) = ( \frac{8 + p}{2} . \frac{5}{2} )$


$( \frac{15}{2} . \frac{5}{2} ) = ( \frac{8 + p}{2} . \frac{5}{2} )$

$\frac{15}{2} = \frac{8 + p}{2}$

$15 = 8 + p = 7$


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Answer 2

Hope it helps............