GCE A-Level Further Mathematics Practice Questions - Cameroon General Certificate Of Education Advanced Level Further Mathematics (0775) Exam

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The locus of points $z = x + iy$ in the complex plane satisfying $|z - 3| = 2|z - 3i|$ represents a circle. What are the center and radius of this circle?

Center $(1, -4)$, Radius $2\sqrt{2}$ Center $(-1, 4)$, Radius 8 Center $(3, 3)$, Radius 4 Center $(-1, 4)$, Radius $2\sqrt{2}$

Correct Answer:

Center $(-1, 4)$, Radius $2\sqrt{2}$

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