Math, asked by shantamDey5163, 1 year ago

The points A(1,-2),B(2,3),C(k,2),D(-4,-3)are the vertices of a parallelogram .Find the value of K.

Answers

Answered by chvivek
1
value of k= -3,used mid point formula
o is the midpoint of bd and ac
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Answered by Anonymous
0

Answer:

Given :

Vertices of a parallelogram are A ( 1 , - 2 ) , B ( 2 , 3 ) , C ( k , 2 ) and D ( - 4 , - 3 ).

We know Diagonal of parallelogram bisect each other .

Midpoint of AC = mid point of BD

= > ( 1 + k / 2 , -2 + 2 / 2 ) = ( - 4 + 2 / 2 , - 3 + 3 / 2 )

= > 1 + k / 2 = - 2 / 2

= > 1 + k = - 2

= > k = - 3 .

Therefore , the value of k is - 3 .

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