Question:

Complex conjugate of \( 3i - 4 \) is:

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The complex conjugate of \( a + bi \) is \( a - bi \), where \( i \) is the imaginary unit.
  • \(-3i - 4\)
  • \( 3i + 4 \)
  • \(-3i + 4\)
  • None of these
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The Correct Option is C

Solution and Explanation

Step 1: Understanding complex conjugates.
The complex conjugate of a complex number \( a + bi \) is \( a - bi \), where \( i \) is the imaginary unit.
Step 2: Apply the concept.
For the complex number \( 3i - 4 \), the complex conjugate is obtained by changing the sign of the imaginary part: \[ \text{Complex conjugate of } (3i - 4) = -3i + 4. \]
Step 3: Conclusion.
The correct answer is (C) \(-3i + 4\). Final Answer:} \(-3i + 4\).
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