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Let z be a complex number such that |z| = 4 and arg . What is z equal to?

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Option 3 :
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Detailed Solution

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Concept:

Relation between modulus and argument of a complex number:

For any complex number  if the modulus is given by  and argument is then the following relation always holds:

Calculation:

Let the given complex number be  then we have  and arg . 

Therefore, .

Now using the above formulae,

Therefore, the required complex number is .

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