COMEDK2023MathematicsComplex Number
If z= 3 +i , then the argument of z^2 e^ z-i is equal to
Options
- Ae^ / 3
- B3
- C6
- 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