1.Let Z1=(8+i)sinθ+(7+4i)cosθZ_1 = (8 + i)\sin\theta + (7 + 4i)\cos\thetaZ1=(8+i)sinθ+(7+4i)cosθ and Z2=(1+8i)sinθ+(4+7i)cosθZ_2 = (1 + 8i)\sin\theta + (4 + 7i)\cos\thetaZ2=(1+8i)sinθ+(4+7i)cosθ be two complex numbers. If Z1⋅Z2=a+ibZ_1 \cdot Z_2 = a + ibZ1⋅Z2=a+ib where a,b∈Ra, b \in \mathbb{R}a,b∈R, then the largest value of (a+b)(a + b)(a+b) for ∀θ∈R\forall \theta \in \mathbb{R}∀θ∈R isa.757575b.100100100c.125125125d.130130130Login to continueOnly logged in users canattempt or see the solution.
