JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 25 July 2022, Shift 1, Maths Q3

Question 3 of 90 in this shift, Maths question 3 of 30, Section A. NTA dropped this question from the final key; it is left out of every count on this site.

For

n\in\mathbf{N}

, let

S_n=\{z\in\mathbf{C}:|z-3+2i|=\frac{n}{4}\}

and

T_n=\{z\in\mathbf{C}:|z-2+3i|=\frac{1}{n}\}

. Then the number of elements in the set

\{n\in\mathbf{N}:S_n\cap T_n=\phi\}

is :

(1) $0$
(2) $2$
(3) $3$
(4) $4$

Official answer

Dropped by NTA (marks given to all)

NTA final key (2022 Session 2).

Chapter: Complex Numbers and Quadratic Equations
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy