The plot shows the complex number $1 + i$ (in blue) and its complex conjugate $1 - i$ (in red). Both points lie on the complex plane, with the real part (x-axis) being 1 for both, and the imaginary part (y-axis) being positive for $1 + i$ and negative for $1 - i$.

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Here are five related questions:

1. What is the geometric interpretation of complex conjugates?
2. How does conjugation affect the magnitude of a complex number?
3. Can you find the conjugate of any arbitrary complex number $a + bi$?
4. What happens if you multiply a complex number by its conjugate?
5. How do complex conjugates relate to solving quadratic