Manipal MET2020MathematicsComplex Number
If Z=i (2- 3 ) , then the value of Z will be
Options
- Ai
- B2 i
- C1
- D2
Correct answer
D. 2
Step-by-step solution
Given, Z=i (2- 3 ) , Z₄= [i (2- 3 )]= (2- 3 ) [ i x= x , for x R] aligned & = e^ (2- 3 ) +e^ - (2- 3 ) 2 & [ x= e^x+e^ -x 2 ] aligned = e^ (2- 3 ) +e^ ( 1 2- 3 ) 2 aligned & = 2- 3 + 1 2- 3 2 & = (2- 3 )^2+1 2(2- 3 ) = 4+3-4 3 +1 2(2- 3 ) & = 8-4 3 2(2- 3 ) = 4(2- 3 ) 2(2- 3 ) =2 aligned