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Byju's Answer
Standard XII
Mathematics
Equation of Circle in Complex Form
If |z| ≤ 1 ...
Question
If
|
z
|
≤
1
then the minimum and maximum value of |z - 3| are
A
4, 2
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B
3, 4
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C
4, 6
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D
2, 4
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Solution
The correct option is
D
2, 4
Using triangle inequality
|
|
z
|
−
|
3
|
|
≤
|
z
−
3
|
≤
|
z
|
+
|
3
|
⇒
|
1
−
3
|
≤
|
z
−
3
|
≤
1
+
3
⇒
2
≤
|
z
−
3
|
≤
4
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0
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