Let a circle C in complex plane pass through the points z1 = 3 + 4i, z2 = 4 + 3i and z3 = 5i. If z( ≠ z1) is a point on C

Let a circle C in complex plane pass through the points z₁ = 3 + 4i, z₂ = 4 + 3i and z₃ = 5i. If z( ≠ z₁) is a point on C such that the line through z and z₁ is perpendicular to the line through z₂ and z₃ , then arg(z) is equal to :

(A) tan^-1(2/√5) - π

(B) tan^-1(24/7) - π

(D) tan^-1 (3/4) - π

Let a circle C in complex plane pass through the points z1 = 3 + 4i, z2 = 4 + 3i and z3 = 5i. If z( ≠ z1) is a point on C

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