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Question
If a complex number lies in the third quadrant, then its conjugate lies in the ______.
Fill in the Blanks
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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]
