If the points (x, 1), (3, y), (-2.3) and (-3, -2) be the vertices of a parallelogram, then find the 2x + y
Answers
Answered by
0
Answer:
Correct option is A)
The points A(x,−1),B(3,y),C(−2,3),D(−3,−2) are the vertices of a parallelogram..
We know that diagonals of a parallelogram bisect each other.
Let O be the point of bisection.
AO=OC and BO=OD
O is the midpoint of AC as well as BD.
Considering AC, O(
2
x−2
,
2
−1+3
)
Considering BD, O(
2
3−3
,
2
y−2
)
Equating the coordinates,
2
x−2
=0
x=2
2
y−2
=2
y=4
Option A is the correct answer
Answered by
0
Answer:
The points A(x,−1),B(3,y),C(−2,3),D(−3,−2) are the vertices of a parallelogram..
We know that diagonals of a parallelogram bisect each other.
Let O be the point of bisection.
AO=OC and BO=OD
O is the midpoint of AC as well as BD.
Considering AC, O(
2
x−2
,
2
−1+3
)
Considering BD, O(
2
3−3
,
2
y−2
)
Equating the coordinates,
2
x−2
=0
x=2
2
y−2
=2
y=4
Similar questions