KCET2016MathematicsComplex Number
The real part of ( (1- +i )⁻¹ ) is
Options
- A( 1 2 )
- B(1) ( 1 1+ )
- C( 2 )
- D( 2 )
Correct answer
A. ( 1 2 )
Step-by-step solution
Given that, [ aligned (1- +i )⁻¹= 1 1- +i = 1 2 ² 2 +i (2 2 2 ) = 1 2 2 1 2 +i 2 = 1 2 2 ² 2 + ² 2 = 2 -i 2 2 2 = 1 2 -i ( 1 2 2 ) aligned ] So, real part of the complex number is ( 1 2 )