Q. 1 H4.0( 9 Votes )

# Find the modulus

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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