The complex number z satisfying ∣ z + 2 + i ∣ + ∣ z − 2 + i ∣ = 4 , 0 ≤ ar g ( z + 2 + 2 i ) ≤ 4 π and 3 4 π ≤ ar g ( z − 2 + 2 i ) ≤ π will lie on a line segment of the length k . Find k .

Question

The complex number z satisfying ∣ z + 2 + i ∣ + ∣ z − 2 + i ∣ = 4 , 0 ≤ ar g ( z + 2 + 2 i ) ≤ 4 π ​ and 3 4 π ​ ≤ ar g ( z − 2 + 2 i ) ≤ π will lie on a line segment of the length k . Find k .

TestHub · Accepted Answer

( k = 2 ) length A B = 2

Mathematics - Complex Number Question with Solution | TestHub

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