Let z 1 , z 2 and z 3 be three points on |z| = 1. If θ 1 , θ 2 and θ 3 be the arguments…

Mathematics · JEE Advanced · NTA ExamsComplex Numbers and Quadratic Equations

Let z1, z2 and z3 be three points on |z| = 1. If θ1, θ2 and θ3 be the arguments of z1, z2, z3 respectively, then
cos (θ1 – θ2) + cos (θ2 – θ3) + cos (θ3 – θ1)
  1. \(\geq-\frac{3}{2}\)
  2. \(\leq-\frac{3}{2}\)
  3. \(\geq \frac{3}{2}\)
  4. none of these

Answer

(A) - 3 2

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