Q. 1

# Find the modulus of each of the following complex numbers and hence express each of them in polar form: 4

Let Z = 4 = r(cosθ + isinθ)

Now, separating real and complex part, we get

4 = rcosθ……….eq.1

0 = rsinθ…………eq.2

Squaring and adding eq.1 and eq.2, we get

16 = r2

Since r is always a positive no., therefore,

r = 4,

hence its modulus is 4.

now, dividing eq.2 by eq.1, we get, Tanθ = 0

Since cosθ = 1, sinθ = 0 and tanθ = 0. Therefore the θ lies in first quadrant.

Tanθ = 0, therefore θ = 0°

Representing the complex no. in its polar form will be

Z = 4(cos0° + isin0°)

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Polar & Euler Form of Complex Numbers on Argand Plane32 mins  Interactive Quiz Time - Polar & Euler Form of complex number58 mins  Practice session | Argument of complex numbers61 mins  Modulus & Conjugate of Complex Number | Ready for a Quiz?48 mins  Interactive Quiz on Quadratic Equations73 mins  Special Quiz on Argument of complex numbers56 mins  Polar & Euler Form of Complex Number on Argand Plane58 mins  Questions on Modulus & Conjugate of Complex Number62 mins  Questions Based on Polar & Euler Form of Complex Number63 mins  Interactive Quiz on Quadratic Equations-0252 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 