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Find the equations of the following circles: (a) center $$( 5 , - 2 )$$ , radius $$\sqrt[ 4 ] { 10 } ; ( b )$$ center $$( \frac { 1 } { 2 } , - \frac { 5 } { 2 } )$$ , diameter $$3$$ (c) center $$( 3,8 )$$ , passing through the origin; (d) center $$( - 3 , - 4 )$$ , tangent to the $$y$$ -axis.