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  • Help me please, - Complex numbers and quadratic equations - JEE Main-13

z is a complex number such that z-\bar{z}= 4i , then Im\left ( z \right ) equals 

  • Option 1)

    -1

  • Option 2)

    1

  • Option 3)

    2

  • Option 4)

    3

 

Answers (1)

best_answer

Im\left ( z \right )=\frac{z-\bar{z}}{2i}=\frac{4i}{2i}=2

\therefore Option (C)

 

Properties of Conjugate of a Complex Number -

Im(z)=\frac{z-\bar{z}}{2i}

- wherein

Im(z) denotes Imaginary part of z

\bar{z} denotes conjugate of z

 

 


Option 1)

-1

This is incorrect

Option 2)

1

This is incorrect

Option 3)

2

This is correct

Option 4)

3

This is incorrect

Posted by

Aadil

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