State true or false for the following: If a complex number coincides with its conjugate, then the number must lie on imaginary axis. - Mathematics

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MCQ
True or False

State true or false for the following:

If a complex number coincides with its conjugate, then the number must lie on imaginary axis.

Options

  • True

  • False

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Solution

This statement is False.

Explanation:

Because x + iy = x – iy

⇒ y = 0

⇒ number lies on x-axis.

Concept: Concept of Complex Numbers
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APPEARS IN

NCERT Mathematics Exemplar Class 11
Chapter 5 Complex Numbers and Quadratic Equations
Solved Examples | Q 17.(iii) | Page 85

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