complex nos-1

MULTIPLE ANSWER QUESTIONS:

1. In ΔOAB where O is origin coordinate of A and rational number. AngleAOB = θ, coordinate of B always irrational then θ can take value

(A) 30° (B) 15°
(C) 60° (D) 45°

(2) If θ1, θ2, θ3 and θ4 are four real number then any root of equation sinθ1 z3 + sinθ2 z2 + sinθ3 z + sinθ4 =3 lying inside the unit circle |Z| =1 satisfy the inequality.

(A) |Z| < 2/3 (B) |Z| > 2/3
(C) |Z| < 1/2 (D) |Z| > 1/2

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