Answer
(a) A point $(3,5)$
(b)
Work Step by Step
(a)
$x^2+y^2-6x-10y+34=0$
$x^2-6x+y^2-10y=-34$
$x^2-6x+9+y^2-10y+25=-34+34$
$(x-3)^2+(y-5)^2=0$
The last equation equation gives a point $(3,5)$.
(b) Sketch the graph.
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