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Most Important Selected Qs for JEE AdvancedMathematicsComplex Number

Let z= ( expi 3 ) , then -

Options

  1. An( Re z)= 1 2 + n ( 3 2 )
  2. Bn ( Re z )= 1 2 + n ( 3 2 )
  3. Cn ( Im z )= 1 2 + n ( 3 2 )
  4. Dn( Im z)= 1 2 - n ( 3 2 )

Correct answer

C. n ( Im z )= 1 2 + n ( 3 2 )

Step-by-step solution

z = 1 2 + i 3 2 = e ^ 1 / 2 e^ i 3 2 z=e^ 1 / 2 3 2 +i 3 2 n ( Re z )= 1 2 + n ( 3 2 ) and ( Im z)= 1 2 + ( 3 2 )

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