Question:
The imaginary part of \( \frac{(1+i)^2}{i(2i-1)} \) is
The imaginary part of \( \frac{(1+i)^2}{i(2i-1)} \) is
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When dealing with complex numbers, simplify the expression to extract the real and imaginary parts.
Updated On: Jan 6, 2026
- \( \frac{4}{5} \)
- 0
- \( \frac{2}{5} \)
- \( \frac{-4}{5} \)
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The Correct Option is D
Solution and Explanation
Step 1: Simplifying the expression.
First, simplify \( (1+i)^2 \) and \( i(2i-1) \), then perform the division. After simplification, extract the imaginary part.
Step 2: Conclusion.
Thus, the imaginary part is \( \frac{-4}{5} \). Hence, the correct answer is option (D).
Final Answer: \[ \boxed{\text{(D) } \frac{-4}{5}} \]
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