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If one vertices of the triangle having...

If one vertices of the triangle having maximum area that can be inscribed in the circle `|z-i| = 5` is 3-3i, then find the other verticles of the traingle.

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To solve the problem, we need to find the other vertices of the triangle that has the maximum area inscribed in the circle defined by the equation |z - i| = 5, given that one vertex is at the point 3 - 3i. ### Step-by-Step Solution: 1. **Identify the Circle's Center and Radius**: The equation |z - i| = 5 represents a circle in the complex plane. The center of the circle is at the point (0, 1) (which corresponds to the complex number i), and the radius is 5. 2. **Convert the Given Vertex to Cartesian Coordinates**: ...
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