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AP EAMCET Engineering 21 Sep 2020 Shift 1 Paper
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© examsnet.com
Question : 7
Total: 160
Geometrically, the set {
z
∊
C
:
|
z
−
2
−
2
i
|
≤
1
} represents_________
a closed circular disc with center at
(
−
2
,
−
2
)
and with radius
1
.
a closed circular disc with center at
(
2
,
2
)
and with radius
1
.
a closed circular disc with center at
(
1
,
1
)
and with radius
0.5
.
a closed circular disc with center at
(
−
1
,
−
1
)
and with radius
0.5
.
Validate
Solution:
Given inequality is
|
z
−
2
−
2
i
|
≤
1
Let
z
=
x
+
i
y
, then we get
√
(
x
−
2
)
2
+
(
y
−
2
)
2
≤
1
⇒
(
x
−
2
)
2
+
(
y
−
2
)
2
≤
1
The above inequality represents a closed circular disc with center at
(
2
,
2
)
and with radius
1
.
© examsnet.com
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