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!