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QUESTION 9 Suppose z is a non-zero complex number satisfying (3 + i)= = (3 - i)2. Find the ratio Im(z) Re(z) Express your solution

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QUESTION 9 Suppose z is a non-zero complex number satisfying (3 + i)= = (3 - i)2. Find the ratio Im(z) Re(z) Express your solution as a fraction. Answer : Number QUESTION 10 Let z be the complex number that satisfies | 2 + 2| + |z - z| = 2z + 9. Find z. Express your answer as a fraction. Answer : 2 : Number + i Number QUESTION 11 Express 1+v3i 99 2 in terms of a + bi, where a, be R. Answer : b = QUESTION 12 If z = 4elk" and z? = 4'e 8 for some integer n, find k such that & has the smallest positive principal argument. Express your answer as a fraction. Answer : Number

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