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AP EAPCET 23-Aug-2021 Shift 1 Paper
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© examsnet.com
Question : 6
Total: 160
If
z
∈
C
, then the minimum value of
|
z
|
+
|
2
z
−
3
|
+
|
z
−
1
|
is
2
1
3
0
Validate
Solution:
|
z
|
+
|
2
z
−
3
|
+
|
z
−
1
|
=
|
z
|
+
|
3
−
2
z
|
+
|
z
−
1
|
≥
|
z
+
z
−
1
+
3
−
2
z
|
∵
[
|
z
1
+
z
2
|
|
z
1
|
+
|
z
2
|
]
≥
|
2
|
∴
Minimum value of
|
z
|
+
|
2
z
−
3
|
+
|
z
−
1
|
is 2 .
© examsnet.com
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