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Question

Mathematics Question on Sets

For nNn \in N, let S _{ n }=\left\\{ z \in C :| z -3+2 i |=\frac{ n }{4}\right\\} and T_n=\left\\{z \in C:|z-2+3 i|=\frac{1}{n}\right\\} Then the number of elements in the set \left\\{ n \in N : S _{ n } \cap T _{ n }=\phi\right\\} is :

A

0

B

2

C

3

D

4

Answer

4

Explanation

Solution

Therefore, the correct option is (D): 4