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Complex Numbers question

2022 · 25 Jul · Shift 1 · Q23

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PYQ Library
JEE Main
Mathematics
Complex Numbers
2022 · 25 Jul · Shift 1 · Q23

Complex Numbers question

2022 · 25 Jul · Shift 1 · Q23

JEE MainMathematicsComplex NumbersMCQ+4 / −1

For

\mathrm{n} \in \mathbf{N}

, let

\mathrm{S}_{\mathrm{n}}=\left\{z \in \mathbf{C}:|z-3+2 i|=\frac{\mathrm{n}}{4}\right\}

and

\mathrm{T}_{\mathrm{n}}=\left\{z \in \mathbf{C}:|z-2+3 i|=\frac{1}{\mathrm{n}}\right\}

. Then the number of elements in the set

\left\{n \in \mathbf{N}: S_{n} \cap T_{n}=\phi\right\}

is :

A
0
B
2
C
3
D
4

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