For , Let and

Then the number of elements in the set is

(A) 0

(B) 2

(C) 3

(D) 4

## Solution:

Tip for solving this question:

Firstly Identify the given sets

According to the set type, apply intersection properties to find no. of elements.

## Step 1 of 2:

Let z = x + iy

Given,

Represents a circle with centre

Also,

Represents a circle with centre

## Step 2 of 2:

We have

So, distance between centre >

{}

Here, n = 1, 2, 3, 4 only satisfies the above equation.

Therefore, No. of elements in sets = 4

## Final Answer:

Hence, Option (D) is correct.

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