Question

Z Ī C satisfies the condition |Z| ³ 3. Then the least value of $\left| Z + \frac{1}{Z} \right|$ is-

• A. $\frac{3}{8}$
• B. $\frac{8}{5}$
• C. $\frac{8}{3}$
• D. $\frac{5}{8}$

Answer 1

Answer: (C)

$\frac{8}{3}$

Answer 2

Sol. $\left| Z + \frac{1}{Z} \right|$= $\left| Z - \left( - \frac{1}{Z} \right) \right|$³ |Z| ~ $\left| - \frac{1}{Z} \right|$ ³ 3 ~ $\frac{1}{3}$= $\frac{8}{3}$