State True or False for the following: If z is a complex number such that z ≠ 0 and Re(z) = 0, then Im(z2) = 0. - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads
MCQ
True or False

State True or False for the following:

If z is a complex number such that z ≠ 0 and Re(z) = 0, then Im(z2) = 0.

Options

  • True

  • False

Advertisement Remove all ads

Solution

This statement is False.

Explanation:

Let z = x + yi, z ≠ 0 and Re(z) = 0

Since real part is 0.

⇒ x = 0

∴ z = 0 + yi = yi

∴ lm(z2) = y2i2

= –y2 which is real.

Concept: The Modulus and the Conjugate of a Complex Number
  Is there an error in this question or solution?
Chapter 5: Complex Numbers and Quadratic Equations - Exercise [Page 93]

APPEARS IN

NCERT Mathematics Exemplar Class 11
Chapter 5 Complex Numbers and Quadratic Equations
Exercise | Q 26.(v) | Page 93

Video TutorialsVIEW ALL [1]

Share
Notifications



      Forgot password?
View in app×