Question

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

Answer 1

Answer:

We know that the diagonals of a parallelogram bisect each other. So, coordinates of the mid-point of diagonal AC are same as the coordinates of the mid-point of diagonal BD.

∴(

2

6+9

,

2

1+4

)=(

2

8+p

,

2

2+3

)

⇒(

2

15

,

2

5

)=(

2

8+p

,

2

5

)

⇒

2

15

=

2

8+p

⇒15=8+p⇒p=7

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Answer 2

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