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If A (-2,-1) ,B (a,0), C (4,b) and D(1,2) are the vertices of

parallelogram, find the values of a and b.


If the mid point of the line segment joining the points A (3,4) and B (k, 6) is P (x,y) and x+y-10=0, then find the value of k.

Asked by Topperlearning User 22nd November 2013, 3:29 AM
Answered by Expert

We know that the diagonals of a parallelogram bisect each other, i.e., the mid point of AC will be the same as that of BD.


a = 1 and b = 3


Coordinates of the mid point of the line segment joining A (3,4) and B (k,6) =

\= (x,y)

=x and 5=y

Since, x+y-10=0



k = 7

Answered by Expert 22nd November 2013, 5:29 AM
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