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What is the modulus of 

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  3. 1
  4. 2200

Answer (Detailed Solution Below)

Option 3 : 1
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Detailed Solution

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Formula used:

For a complex number z = x + iy

|zn| = |z|n

Where i = √-1 and

|z| = √(x2 + y2)

Calculation:

Let, z = 

This can be written as:

⇒ |z200| = 

Using the property of modulus:

⇒ |z|200 = 

We know that |z| = √(x2 + y2)

⇒ |z|200 = 

⇒ |z|200 = 

∴  

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