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JEE Main 9 Apr 2019 Paper 2 Solved Paper
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© examsnet.com
Question : 62
Total: 90
The total number matrices
[
0
2
y
1
2
x
y
-
1
2
x
-
y
1
]
(
x
,
y
∊
R
,
x
≠
y
)
for which
A
τ
A
=
3
I
3
is
2
6
4
3
Validate
Solution:
A
=
(
0
2
y
1
2
x
y
-
1
2
x
-
y
1
)
A
τ
A
=
3
I
3
(
given
)
A
τ
A
=
(
0
2
x
2
x
2
x
y
−
y
1
-
1
1
)
(
0
2
y
1
2
x
y
-
1
2
x
-
y
1
)
=
3
I
3
=
(
8
x
2
0
0
0
6
x
2
0
0
0
3
)
=
(
3
0
0
0
3
0
0
0
3
)
8
x
2
=
3
and
6
y
3
=
3
x
=
±
√
3
8
,
y
=
±
1
√
2
Total four solution for (x,y)
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