Q. 41

# Mark the Correct alternative in the following:

If z is a complex number, then

A. |z|^{2} > ||^{2}

B. |z|^{2} = ||^{2}

C. |z|^{2} < ||^{2}

D. |z|^{2} ≥ ||^{2}

Answer :

Let, z = a + ib

|z|^{2} = a^{2} + b^{2}

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 numbersFREE Class

Modulus & Conjugate of Complex Number | Ready for a Quiz?48 mins

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

Get in the world of Complex Numbers55 mins

Discussion | Miscellaneous Exercise | NCERT Chapter 5| Complex Numbers47 mins

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

Find the real values of x and y for which the complex number (-3 + iyx^{2}) and (x^{2} + y + 4i) are conjugates of each other.

Solve the system of equations Re(z^{2}) = 0, |z| = 2.

Solve the equation |z| = z + 1 + 2i.

RD Sharma - MathematicsIf |z + 1| = z + 2(1 + i), find z.

RD Sharma - MathematicsFind the conjugates of the following complex numbers:

RD Sharma - Mathematics

Find principal argument of

Mathematics - ExemplarIf z_{1} is a complex number other than –1 such that |z_{1}| = 1 and z_{2} = then show that z2 is purely imaginary.

If is purely imaginary and z = –1, show that |z| = 1.

RS Aggarwal - MathematicsFind the real values of x and y for which (x – iy) (3 + 5i) is the conjugate of (-6 – 24i).

RS Aggarwal - Mathematics