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What is the locus of a point for which ...

What is the locus of a point for which
(i) `x =0, y =0`
(ii) `y =0, z =0`
(iii) `z =0, x =0`
(iv)` x =a, y =b`
(v) `y =b, z =0`
(vi)` z =c, x =a ` ?

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