Let w ⁡ = 3 + i 2 and P = w ⁡ n : n = 1, 2, 3, … .Further H 1 = z ∈ C : Re z > 1 2 and H 2 = z ∈ C : Re z < - 1 2 , where C is the set of all complex numbers. If z 1 ∈ P ∩ H 1 , z 2 ∈

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Let w &#8289; = 3 + i 2 and P = w &#8289; n : n = 1, 2, 3, &#8230; .Further H 1 = z &#8712; C : Re z &#62; 1 2 and H 2 = z &#8712; C : Re z &#60; - 1 2 , where C is the set of all complex numbers. If z 1 &#8712; P &#8745; H 1 , z 2 &#8712; P &#8745; H 2 and O represents the origin, then &#8736; z 1 O z 2 =

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Correct answer: C. 2 &pi; 3

P = &omega; n = cos n &pi; 6 + i sin n &pi; 6 , H 1 = Rez > 1 / 2 z 1 = P &cap; H 1 = 3 + i 2 , 3 - i 2 z 2 = P &cap; H 2 = - 1 , - 3 + i 2 , - 3 - i 2 &ang; z 1 O z 2 = 2 &pi; 3 , 5 &pi; 6 , &pi;

Let w ⁡ = 3 + i 2 and P = w ⁡ n : n = 1, 2, 3, … .Further H 1 = z ∈ C : Re z > 1 2 and H 2 = z ∈ C : Re z < - 1 2 , where C is the set of all complex numbers. If z 1 ∈ P ∩ H 1 , z 2 ∈ P ∩ H 2 and O represents the origin, then ∠ z 1 O z 2 =

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