JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Analyzing +4 | -1

For

n \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\}

View answer and explanation

Correct option: B

\infty

Option B (

\infty

) is correct because the intersection of the two circles is empty for an infinite number of values of n.

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