9. If the points A(6, 1), B (8, 2). C. 4) and D (x, 3) are the fertices of a parallelogram,
taken in order then the value of x is
[
a) 7
b) 5
c) 4
d) None
Answers
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Answer:
Step-by-step explanation:
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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