1+10Re(cosθ−3isinθ2cosθ+isinθ)=0∴z+z=2Re(z)cosθ−3isinθ2cosθ+isinθ+cosθ+3isinθ2cosθ−isinθ=2×(10−1)cos2θ+9sin2θ(2cos2θ−3sin2θ)+(2cos2θ)−(3sin2θ)=10−2⇒cos2θ+9sin2θ2cos2θ−3sin2θ=10−1⇒20cos2θ−30sin2θ=−cos2θ−9sin2θ21cos2θ−21sin2θ=0⇒cos2θ=02θ=2π,23π,25π,27π⇒∑θ2=16π2+169π2+1625π2+1649π2=1684π2=421π2