If the complex number z satisfies the condition |z| ≥ 3, then the least value of z+1z is equal to

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5/3

8/3

11/3

none of these

answer is B.

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Detailed Solution

|z + 1z| ≥ ||z|−1|z|| since z1-z2≥z1-z2Hence, the least value occurs when |z|=3. since z≥3⇒1z≤13⇒-1z≥-13⇒z-1z≥3-13∴ |z+1z|least=3−13=83

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