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Among the complex numbers, z satisfies the condition |z + 1 − i| ≤ 1. Then the number having the least positive argument is

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Among the complex numbers, z satisfies the condition |z + 1 − i| ≤ 1. Then the number having the least positive argument is 

(1) 1 − i 

(2) − 1 + i 

(3) − i 

(4) i

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Best answer

Correct option (4) i

Explanation: 

|z − (− 1 + i)| ≤ 1 represents a region of a circle with centre (− 1 + i) and radius 1. The point on this circle with least amplitude is P(0, 1) and corresponds to i.

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