Question

Select all of the points that lie on the circle with equation?​

Answer 1

The easiest way to determine whether the point is on the circle:

  ⇒ plugging the values into the equation

    ⇒ then see if the equation holds true

       ⇒ meaning that the point is on the line

• (3,-7)

         $(3-3)^2+(-7+2)^2=25\\(-5)^2=25\\25=25$<== true

• (8,-2)

         $(8-3)^2+(-2+2)^2=25\\5^2=25\\25=25$<== true

• (3,-3)

          $(3-3)^2+(-3+2)^2=25\\(-1)^2=25\\1=25$<== false

• (3,3)

          $(3-3)^2+(3+2)^2=25\\5^2=25\\25=25$<== true

• (-2,8)

          $(-2-3)^2+(8+2)^2=25\\(-5)^2+10^2\\25+100=25\\125=25$<== false

Answer: (3,-7), (8,-2), (3,3)

Hope that helps!