Complex number & nbsp; Z = 2 + I & nbsp; (where is & nbsp; I & nbsp; imaginary unit), then the module of & nbsp; Z & nbsp; is () A. 3B. 2C. 5D. 3

Complex number & nbsp; Z = 2 + I & nbsp; (where is & nbsp; I & nbsp; imaginary unit), then the module of & nbsp; Z & nbsp; is () A. 3B. 2C. 5D. 3

From & nbsp; Z = 2 + I, | Z | = 22 + 12 = 5

The point corresponding to the conjugate complex z = I / 1-I on the complex plane is located at
A. First quadrant B. second quadrant C. third quadrant D. fourth quadrant

z=i(1+i)/(1-i)(1+i)=(i-1)(1+1)
=-1/2+i/2
Conjugate is - 1 / 2-I / 2
So in the third quadrant
Choose C

In the complex plane, if z = (1-I / 1 + I) ^ 2 + 1 / I, then the conjugate complex of Z is

z=(1-2i-1)/(1+2i-1)+i/i²
=(-2i)/2i+i/(-1)
=-1-i
So Z conjugate = - 1 + I