Question:medium
Let \( S = \{z : 3 \le |2z - 3(1+i)| \le 7\ \) be a set of complex numbers. Then \( \min_{z \in S} \left| z + \frac{1}{2}(5+3i) \right| \) is equal to :}
Let \( S = \{z : 3 \le |2z - 3(1+i)| \le 7\ \) be a set of complex numbers. Then \( \min_{z \in S} \left| z + \frac{1}{2}(5+3i) \right| \) is equal to :}
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Always plot the center and the given point on a rough Argand plane. It helps you instantly see if you need to subtract the radius from the distance or vice versa.
Updated On: Apr 1, 2026
- 2
- \( \frac{3}{2} \)
- \( \frac{1}{2} \)
- \( \frac{5}{2} \)
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The Correct Option is A
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