AP EAMCET · Maths · Complex Number
If \(m\) and \(n\) are the least and greatest values of \(|z|\) respectively and \(|z-4+3 i| \leq 1\). Let \(k\) be the least value of \(\frac{x^4+x^2+4}{x}\) on the interval \((0, \infty)\). Then \(k=\)
- A \(n\)
- B \(m\)
- C \(m+n\)
- D \(m n\)
Answer & Solution
Correct Answer
(A) \(n\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} |z-4+3 i| & \leq 1 \\ |Z-(4-3 i)| & \leq 1 \end{aligned}\) It represent a circle of radius less than or equal to 1 unit Minimum value of \(|z|=O P=O C-C P=5-1\) \(m=4\) Maximum value of \(|z|=O Q=O C+C Q=5+1\)…
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