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JEE Main Math Class 11 Complex Numbers and Quadratic Equations Part 3 Questions
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© examsnet.com
Question : 11
Total: 100
Let
S
=
{
z
=
x
+
i
y
:
2
z
−
3
i
4
z
+
2
i
.
is a real number
}
. Then which of the following is NOT correct?
[10-Apr-2023 shift 2]
y
∈
(
−
∞
,
−
1
2
)
⋃
(
−
1
2
,
∞
)
(
x
,
y
)
=
(
0
,
−
1
2
)
x
=
0
y
+
x
2
+
y
2
≠
−
1
4
Validate
Solution:
2
z
−
3
i
4
z
+
2
i
∈
R
2
(
x
+
i
y
)
−
3
i
4
(
x
+
i
y
)
+
2
i
=
2
x
+
(
2
y
−
3
)
i
4
x
+
(
4
y
+
2
)
i
×
4
x
−
(
4
y
+
2
)
i
4
x
−
(
4
y
+
2
)
i
4
x
(
2
y
−
3
)
−
2
x
(
4
y
+
2
)
=
0
x
=
0
y
≠
−
1
2
Ans.
=
2
© examsnet.com
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