Examine which of the following conicoids are central and which are non-central.
Also determine which of the central conicoids have centre at the origin.
i) x
²+y²+z
²+x+y+z = 1
ii) 2x²+4xy+xz−x−3y+5z+3 = 0
iii) x
²–y
²−z
²+xy+4yz+x = 0
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