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FP1 question (complex number geometry) watch

1. Verify that there is a constant c such that the roots (1+4i), (1-4i) and -7 satisfy mod(z+2) = c.

I don't really understand what the question is asking. I understand that it is a circle and that is about it. Any help would be greatly appreciated.
Verify that there is a constant c such that the roots (1+4i), (1-4i) and -7 satisfy mod(z+2) = c.

I don't really understand what the question is asking. I understand that it is a circle and that is about it. Any help would be greatly appreciated.
For and , plug them all into and see what you get. They should all be the same value.

This is what the question is asking for, by the looks of it.
3. the locus | z + 2 | = c will be a circle with radius c and centre ( -2, 0 ) or -2 + 0i if you prefer.

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