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AP EAMCET Engineering 22 Apr 2019 Shift 1 Paper
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© examsnet.com
Question : 59
Total: 160
The points A (2 , - 1 , 4) , B (1 , 0 , - 1) , C (1 , 2 , 3) and D (2 , 1 , 8) form a
Rectangle
Square
Rhombus
Parallelogram
Validate
Solution:
From the given points,
A
B
=
√
1
2
+
1
2
+
5
2
=
√
27
B
C
=
√
0
2
+
2
2
+
4
2
=
√
20
C
D
=
√
1
2
+
1
2
+
5
2
=
√
27
And
D
A
=
√
0
2
+
2
2
+
4
2
=
√
20
These shows,
A
B
=
C
D
and
B
C
=
D
A
Now,
A
C
=
√
1
2
+
3
2
+
1
2
=
√
11
And,
D
B
=
√
1
2
+
1
2
+
9
2
=
√
83
It means,
A
C
≠
D
B
Hence, A,B,C and D forms a parallelogram.
© examsnet.com
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