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If a complex number lies in the third quadrant, then its conjugate lies in the ______. - Mathematics

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Question

If a complex number lies in the third quadrant, then its conjugate lies in the ______.

Fill in the Blanks

Solution

If a complex number lies in the third quadrant, then its conjugate lies in the second quadrant.

Explanation:

Conjugate of a complex number is the image of the complex number about the x-axis.

Therefore, if a number lies in the third quadrant then its image lies in the second quadrant.

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Chapter 5: Complex Numbers and Quadratic Equations - Solved Examples [Page 84]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 5 Complex Numbers and Quadratic Equations
Solved Examples | Q 16.(vi) | Page 84

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