Performing Operations with Complex Numbers — Unit test
Question 1 • MO-Algebra II A-CR
The sum of two complex numbers, where the real numbers do not equal zero, results in a sum of 22i. Which statement must be true about the complex numbers?
Answer
A
The complex numbers have equal imaginary coefficients.
B
The complex numbers have equal real numbers.
C
The complex numbers have opposite imaginary coefficients.
D
The complex numbers have opposite real numbers.
Explanation
Write the numbers as a + bi and c + di. Since their sum is 22i, its real part is 0, so a + c = 0; therefore, the real parts are opposites. The imaginary parts only need to add to 22, so they do not have to be equal or opposite.
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