CBSE Class 10 Answered
coordinate geometry
Asked by | 27 Jan, 2009, 07:56: PM
Expert Answer
Remember that the diagonals of a parallelogram bisect each other.
So, the mid points of both of them are the same .
So here, we will find the mid point of one diagonal and assume it to be themid point of the other diagonal, too.
Ler A(3,-4)
C((6,-2)
B(-1,-3)
D(x,y)
Mid point of AC, say P, using mid point formulais(3+6/2,-4-2/2)
So P has coordinates(9/2,-3)
This must be the mid point for BD as well.
so(-1+x/2 ,-3+y/2)=(9/2,-3)
equate the x and y coordinates , which will give you the answer.
Answered by | 28 Jan, 2009, 09:27: AM
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