Q. 64.8( 4 Votes )

# Find the modulus

Answer :

Let Z = 1 - i = r(cosθ + isinθ)

Now , separating real and complex part , we get

-1 = rcosθ ……….eq.1

1 = rsinθ …………eq.2

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

2 = r2

Since r is always a positive no., therefore, ,

hence its modulus is √2.

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

Since and tanθ = -1. therefore the θ lies in second quadrant.

Tanθ = -1, therefore Representing the complex no. in its polar form will be }

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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 RELATED QUESTIONS :

Find the modulus RS Aggarwal - Mathematics

Find the modulus RS Aggarwal - Mathematics

Find the modulus RS Aggarwal - Mathematics

Find the modulus RS Aggarwal - Mathematics

Find the modulus RS Aggarwal - Mathematics

Find the modulus RS Aggarwal - Mathematics

Write 2i in polarRS Aggarwal - Mathematics

Find the principaRS Aggarwal - Mathematics