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If x + iy = (a + ib)/(a - ib) with a, b real, then x^2 + y^2 equals

Aa/b
B1
C0
Dab
Answer & Solution
Correct answer: B. 1
A number and its conjugate have equal modulus, so the quotient has modulus 1 and x^2 + y^2 = 1.
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