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

Question

asked Mar 23, 2023 67.9k views

1 Answer

Rakesh Menon · Answer 1 · 2023-03-28T06:25:40+0000

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

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

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

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

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

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

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

Hope that helps!