1. Tardigrade
  2. Question
  3. Mathematics
  4. Let z1=(8+i) sin θ+(7+4 i) cos θ and z2=(1+8 i) sin θ+(4+7 i) cos θ are two complex numbers. If z1 ⋅ z2=a+i b ; a, b ∈ R. If M is the greatest value of (a+b) ∀ θ then the value of M1 / 3 is

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Q. Let $z_1=(8+i) \sin \theta+(7+4 i) \cos \theta$ and $z_2=(1+8 i) \sin \theta+(4+7 i) \cos \theta$ are two complex numbers. If $z_1 \cdot z_2=a+i b ; a, b \in R$. If $M$ is the greatest value of $(a+b) \forall \theta$ then the value of $M^{1 / 3}$ is

Complex Numbers and Quadratic Equations

Solution:

Correct answer is '5'