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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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Question

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

MCQ
True or False

Solution

This statement is False.

Explanation:

Because x + iy = x – iy

⇒ y = 0

⇒ number lies on x-axis.

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Chapter 5: Complex Numbers and Quadratic Equations - Solved Examples [Page 85]

APPEARS IN

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

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