If a = 1 + i, then


If $a=1+i$, then $a^{2}$ equals

(a) 1 − i

(b) 2i

(c) (1 + i) (1 − i)

(d) i − 1


(b) 2i

 = 1 + i                   

On squaring both the sides, we get,


$\Rightarrow a^{2}=1+i^{2}+2 i$

$\Rightarrow a^{2}=1-1+2 i \quad\left(\because i^{2}=-1\right)$


$\Rightarrow a^{2}=2 i$



Leave a comment


Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now