Question

27. if (1+i)4 (1+1/i
) 4= k , then k​

Answer 1

Answer:

Correct option is

A

4

Consider (1−i1+i)

Rationalize the denominator we get,

⇒(1−i1+i)=(1−i)(1+1)(1+i)(1+i)=(1−i)(1+i)(1+i)2

Here we see that denominator is in the form of (a+b)(a−b)=a2−b2

⇒1−i1+i=12−i2(1+i)2

⇒1−i1+i=1−i2(1+i)2

we know that (a+b)2=a2+2ab+b2

⇒1−i1+i=1−i212+(2×1