JEE Mains · Maths · STD 11 - 4.1 complex nubers
If \(z\) is a complex number such that \(|z| \geq 1\), then the minimum value of \(\left|z+\frac{1}{2}(3+4 i)\right|\) is :
- A \(\frac{5}{2}\)
- B \(2\)
- C \(3\)
- D \(\frac{3}{2}\)
Answer & Solution
Correct Answer
(D) \(\frac{3}{2}\)
Step-by-step Solution
Detailed explanation
\(|z| \geq 1\) Min. value of \(\left|z+\frac{3}{2}+2 i\right|\) is actually zero.
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