Question: Exercise 1 (20 pts) Consider in the complex plane (O; u, ) the points A and B with respective affixes 2A = -1 and zg

Exercise 1 (20 pts) Consider in the complex plane (O; u, ) the points A and B with respective affixes 2A = -1 and zg = 1. Let f be a mapping which associates to each point M with affix z * -1, the point M' with affix z' such that z'= 1. Find the image of B by f. 2. Find the antecedent of A and B by f. 3. Let z = a + iy and 2' = a try'. (a) Show that x' = " taty then find y' in terms of a and y. (b) Find the set of points M if z' is pure real. (c) Find the set of points M if 2' is pure imaginary. (d) Find the set of points M if M' moves on the line with equation y = c. (e) Find the set of points of M if M' moves on the perpendicular bisector of [AB]

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