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Properties of Modulus

If | z - 4z...

Question

If $∣ ∣ ∣ z - \frac{4}{z} ∣ ∣ ∣ = 2$ , then the maximum value of $| z |$ is

A

\sqrt{5}

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B

\sqrt{5} + 1

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C

\sqrt{5} - 1

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D

1 - \sqrt{5}

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Solution

The correct option is B $\sqrt{5} + 1$

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Similar questions

∣ ∣ z - \frac{4}{z} ∣ ∣

= 2, then the maximum value of

| z |

If $∣ ∣ z - \frac{4}{z} ∣ ∣$ =2, then the maximum value of $| z |$ is

z_{1}, z_{2}, z_{3}, z_{4}, z_{5}

are roots of the equation

z^{5} + z^{4} + z^{3} + z^{2} + z + 1 = 0

, then the value of

∣ ∣ ∣ ∣ 5 \sum i = 1 z_{i}^{4} ∣ ∣ ∣ ∣

∣ ∣ z - \frac{4}{2} ∣ ∣ = 2,

then the maximum value of is

z_{1} = 7 + 24 i

| z_{2} | = 5,

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