Q. 1 H4.0( 9 Votes )

Find the modulus

Answer :

Given complex number is





We know that i2=-1




z=-4+i4


We know that the polar form of a complex number Z=x+iy is given by Z=|Z|(cosθ+isinθ)


Where,


|Z|=modulus of complex number=


θ =arg(z)=argument of complex number=


Now for the given problem,





|z|=8



Since x<0,y>0 complex number lies in 2nd quadrant and the value of θ will be as follows 900≤θ≤1800.



.



The Polar form of is .


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