Solution:
(1+i)2/i(2i-1) = (1+i)2/(-2-i)
= (1+i)2 (-2+i)/(-2-i)(-2+i)
= (1+i)2 (-2+i)/(4–1)
= (1+i)2 (-2+i)/5
= (1+2i-1)(-2+i)/5
= 2i(-2+i)/5
= (-4i-2)/5
Imaginary part in -4/5
Hence option (4) is the answer.
Solution:
(1+i)2/i(2i-1) = (1+i)2/(-2-i)
= (1+i)2 (-2+i)/(-2-i)(-2+i)
= (1+i)2 (-2+i)/(4–1)
= (1+i)2 (-2+i)/5
= (1+2i-1)(-2+i)/5
= 2i(-2+i)/5
= (-4i-2)/5
Imaginary part in -4/5
Hence option (4) is the answer.