MHT CET20249 May 2024Morning ShiftMathematicsComplex NumberActual
If Z= -2 1+ 3 , i= -1 , then the value of Z is
Options
- A2 3
- B3
- C- 3
- D4 3
Correct answer
A. 2 3
Step-by-step solution
aligned z & = -2 1+ 3 i & = -2(1- 3 i) (1+ 3 i)(1- 3 i) & = -2(1- 3 i) (1)^2-( 3 i)^2 & = -2(1- 3 i) 1-3 i^2 & = -2(1- 3 i) 1+3 : [i^2=-1 ] aligned aligned & = -2 4 (1- 3 i) & = -1 2 (1- 3 i ) & z= -1 2 + 3 i 2 aligned aligned (z) & = ⁻¹ ( b a ) & = ⁻¹ ( 3 2 - 1 2 ) & = ⁻¹(- 3 ) & = - ⁻¹( 3 ) & = - 3 & = 2 3 aligned