\[\boxed{\mathbf{960.ОК\ ГДЗ - домашка\ на}\ 5}\]
\(Дано:\)
\[A(3; - 4);B(1;0);\]
\[C(0;5);D(0;0);E(0;1).\]
\[\textbf{а)}\ x^{2} + y^{2} = 25\]
\[A(3; - 4)\ :\ \ \ \ \]
\[9 + 16 = 25 - верно.\]
\[C(0;5)\ :\ \ \ \ \]
\[0 + 25 = 25 - верно.\]
\[\textbf{б)}\ (x - 1)^{2} + (y + 3)^{2} = 9\]
\[B(1;0)\ :\ \ \ \]
\[0 + 9 = 9 - верно.\]
\[\textbf{в)}\ \left( x - \frac{1}{2} \right)^{2} + y^{2} = \frac{1}{4}\]
\[B(1;0)\ :\ \ \ \ \]
\[\left( \frac{1}{2} \right)^{2} + 0 = \frac{1}{4} - верно.\]
\[D(0;0)\ :\ \ \ \ \]
\[\left( - \frac{1}{2} \right)^{2} + 0 = \frac{1}{4} - верно.\]
\[Ответ:а)\ A\ и\ C;б)\ B;в)\ \text{B\ }и\ \text{D.}\]