Question: Let c = a + bi be a fixed complex number, where c 0, 1, 2, . . . , and note that ic

Let c = a + bi be a fixed complex number, where c ≠ 0, ±1, ±2, . . . , and note that ic is multiple-valued. What additional restriction must be placed on the constant c so that the values of |ic| are all the same?

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