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TS EAMCET 19-July-2022 Shift 2 Solved Paper
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© examsnet.com
Question : 34
Total: 160
If
2
i
+
3
j
−
4
k
and
−
i
+
2
j
+
k
are the two diagonals of a parallelogram, then the area of the parallelogram in square units is
1
2
√
170
√
174
√
87
2
1
4
√
174
Validate
Solution:
Given,
2
^
i
+
3
^
j
−
4
^
k
and
−
^
i
+
2
^
j
+
^
k
are the two diagonals of parallelogram.
Area of parallelogram
=
1
2
|
d
1
×
d
2
|
=
1
2
|
⋀
i
⋀
j
⋀
k
2
3
−
4
−
1
2
1
|
=
1
2
|
11
⋀
i
+
2
⋀
j
+
7
⋀
k
|
=
1
2
√
121
+
4
+
49
=
1
2
√
174
=
√
87
2
© examsnet.com
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