Q. 264.0( 8 Votes )

# If is purely an imaginary number and z ≠ -1 then find the value of |z|.

Answer :

Given: is purely imaginary number

Let z = x + iy

So,

Now, rationalizing the above by multiply and divide by the conjugate of [(x + 1) + iy]

Using (a – b)(a + b) = (a2 – b2)

Putting i2 = -1

Since, the number is purely imaginary it means real part is 0

x2 + y2 – 1 = 0

x2 + y2 = 1

|z| = 1

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
Interactive Quiz on Quadratic EquationsFREE Class
Modulus & Conjugate of Complex Number | Ready for a Quiz?48 mins
Practice session | Argument of complex numbersFREE Class
Special Quiz on Argument of complex numbersFREE Class
Polar & Euler Form of Complex Number on Argand Plane58 mins
Questions Based on Polar & Euler Form of Complex Number63 mins
Questions on Modulus & Conjugate of Complex Number62 mins
Interactive Quiz on Quadratic Equations-02FREE Class
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 :

Evaluate.

RS Aggarwal - Mathematics

Evaluate

RS Aggarwal - Mathematics

Evaluate:

(i)

(iii) .

RS Aggarwal - Mathematics

RS Aggarwal - Mathematics

RS Aggarwal - Mathematics

If then show that

RD Sharma - Mathematics

RS Aggarwal - Mathematics