Instrucciones: Responde las siguientes preguntas.

• Transforma la ecuación de circunferencia \(x^{2}+y^{2}-16x+4y-32 = 0\) a su forma ordinaria.
  • $$\left ( x+6 \right )^{2}+\left ( y-10 \right )^{2} = 64$$
  • $$\left ( x-1 \right )^{2}+\left ( y+7 \right )^{2} = 100$$
  • $$\left ( x-8 \right )^{2}+\left ( y+2 \right )^{2} = 100$$
  • $$\left ( x+9 \right )^{2}+\left ( y-7 \right )^{2} = 49$$

• Determina el centro de la circunferencia cuya ecuación general es \(x^{2}+y^{2}-14x-18y+66 = 0\).
  • $$C\left ( 7, \ 9 \right )$$
  • $$C\left ( -4, \ 10 \right )$$
  • $$C\left ( 4, \ -8 \right )$$
  • $$C\left ( 1, \ 6 \right )$$

• Determina la medida del radio de la circunferencia cuya ecuación general es \(x^{2}+y^{2}-16x-10y+73 = 0\).
  • $$r = 5$$
  • $$r = 8$$
  • $$r = 4$$
  • $$r = 2$$

• Transforma la ecuación de circunferencia \(x^{2}+y^{2}+4x-20y+100 = 0\) a su forma ordinaria.
  • $$\left ( x+2 \right )^{2}+\left ( y-10 \right )^{2} = 4$$
  • $$\left ( x-8 \right )^{2}+\left ( y+8 \right )^{2} = 49$$
  • $$\left ( x+3 \right )^{2}+\left ( y-3 \right )^{2} = 36$$
  • $$\left ( x+7 \right )^{2}+\left ( y-5 \right )^{2} = 49$$

• Determina el centro de la circunferencia cuya ecuación general es \(x^{2}+y^{2}-12x-20y+132 = 0\).
  • $$C\left ( 6, \ 10 \right )$$
  • $$C\left ( -9, \ 1 \right )$$
  • $$C\left ( 10, \ -8 \right )$$
  • $$C\left ( 3, \ 1 \right )$$