1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard X
Mathematics
Mid Point Formula
The three ver...
Question
The three vertices of a parallelogram
A
B
C
D
are
A
(
3
,
−
4
)
,
B
(
−
1
,
−
3
)
and
C
(
−
6
,
2
)
. Find the coordinates of vertex
D
and find the area of
A
B
C
D
.
Open in App
Solution
Given
A
(
3
,
−
4
)
,
B
(
−
1
,
−
3
)
,
C
(
−
6
,
2
)
O
is M.P of
A
C
=
(
3
−
6
2
,
−
4
+
2
2
)
=
(
−
3
2
,
−
1
)
∴
O
=
(
−
3
2
,
−
1
)
Similarly,
O
is MP of
B
D
⇒
−
3
2
=
−
1
+
a
2
,
−
1
=
−
3
+
6
2
∴
a
=
−
2
,
b
=
+
1
∴
D
=
(
−
2
,
1
)
∴
Area of parallelogram
A
B
C
D
=
Ar of
△
A
B
C
+ Ar
△
A
D
C
Area of
△
A
B
C
=
1
2
[
x
1
(
y
2
−
y
3
)
+
x
2
(
y
3
−
y
1
)
+
x
3
(
y
1
−
y
2
)
]
=
1
2
[
3
(
−
3
−
2
)
−
1
(
2
+
4
)
−
6
(
4
+
3
)
]
=
1
2
[
−
15
−
6
+
6
]
=
|
15
|
2
=
15
2
Area of
△
A
D
C
=
1
2
[
3
(
1
−
2
)
−
2
(
2
+
4
)
−
6
(
−
4
−
1
)
]
=
1
2
[
−
3
−
12
+
30
]
=
15
2
∴
Area of parallelogram
A
B
C
D
=
15
2
+
15
2
=
15
Suggest Corrections
0
Similar questions
Q.
The three vertices of a parallelogram
A
B
C
D
are
A
(
3
,
−
4
)
,
B
(
−
1
,
−
3
)
and
C
(
−
6
,
2
)
. Find the coordinate of vertex
D
.
Q.
Three consecutive vertices of a parallelogram ABCD are A
(
3
,
−
1
,
2
)
, B
(
1
,
2
,
−
4
)
and C
(
−
1
,
1
,
2
)
. Find the coordinates of the fourth vertex D.
Q.
A
(
2
,
1
)
,
B
(
−
1
,
2
)
and
C
(
1
,
0
)
are three of the four vertices of parallelogram
A
B
C
D
Find the coordinates of the fourth vertex
D
.
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Section Formula
MATHEMATICS
Watch in App
Explore more
Mid Point Formula
Standard X Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Solve
Textbooks
Question Papers
Install app