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COMEDK2023MathematicsComplex Number

If z= 3 +i , then the argument of z^2 e^ z-i is equal to

Options

  1. Ae^ / 3
  2. B3
  3. C6
  4. D6

Correct answer

B. 3

Step-by-step solution

Given, Z= 3 +i aligned (z^2 e^ z-i ) & = [( 3 +i)^2 e^ 3 +i)-i ] & = [(2+2 3 i) e^ 3 ] & = [2 e^ 3 (1+ 3 i) ] & = [(1+ 3 i)] & = ⁻¹ ( 3 1 )= ⁻¹ ( 3 )= 3 aligned

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