Determine whether the statement is true or false. Justify your answer. 1. The modulus of a complex

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Determine whether the statement is true or false. Justify your answer.
1. The modulus of a complex number can be real or imaginary.
2. The distance between two points in the complex plane is always real.
3. The modulus of the sum of two complex numbers is equal to the sum of their moduli.
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