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Query: The complex numbers u, v and w are related
by the equation u-1=v-1+w-1.
If v=1-3i, w=2+i, show that u=m(5-i), where m=5/13.
Response:
Query: Two concentric circles have radii of r cm and 6 cm (where r>6). If the area between the circumferences is 64π, find the size of the radius r.