Question: C 6. Consider the equation for complex number z: 1z - 41 = 2/z - 11. (a) Show that such z describe the circle centered

C 6. Consider the equation for complex number z: 1z - 41 = 2/z - 11. (a) Show that such z describe the circle centered at (0, 0) with radius 2. (b) Let 2z1 2z2 W= + 22 ZI where z1 and z2 on the circle of (a). Show that w is real and -4 S w S 4. (c) Assume that for the same number w we have w = -4. What relation exists between z, and Z2? Show that the triangle with vertices z1, z2 and z3 = 2iz, is an isosceles triangle
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