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JEE Main 2022 Mathematics question

MathematicsComplex NumbersJEE Main 2022

For n N, let = {z C : |z − 3 + 2i| = n/4} and = {z C : |z − 2 + 3i| = 1/n}. Then the number of elements in the set {n N : = Extra close brace or missing open brace\phi } is :

Answer: (4)

Solution

is a circle with centre , −2) and radius n/4, and is a circle with centre , −3) and radius 1/n. The distance between the centres is . The

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Question ID VK-024806