MathematicsMedium53×since 2002Q3262For n∈N\mathrm{n} \in \mathbf{N}n∈N, let Sn={z∈C:∣z−3+2i∣=n4}\mathrm{S}_{\mathrm{n}}=\left\{z \in \mathbf{C}:|z-3+2 i|=\frac{\mathrm{n}}{4}\right\}Sn={z∈C:∣z−3+2i∣=4n} and Tn={z∈C:∣z−2+3i∣=1n}\mathrm{T}_{\mathrm{n}}=\left\{z \in \mathbf{C}:|z-2+3 i|=\frac{1}{\mathrm{n}}\right\}Tn={z∈C:∣z−2+3i∣=n1}. Then the number of elements in the set {n∈N:Sn∩Tn=ϕ}\left\{n \in \mathbf{N}: S_{n} \cap T_{n}=\phi\right\}{n∈N:Sn∩Tn=ϕ} is :A0B2C3D4Check answerSkip