BITSAT2010MathematicsPermutation and CombinationActual
If ( 1-i 1+i =A+i B ), then (A^2+B^2 ) equals to
Options
- A1
- B( ^2 )
- C-1
- D(- ^2 )
Correct answer
A. 1
Step-by-step solution
( aligned & A+i B= 1-i 1+i A-i B= 1+i 1-i & (A+i B)(A-i B)= (1-i )(1+i ) (1+i )(1-i ) =1 & A^2+B^2=1 aligned )