Question

Does the point ( 3 , 3 ) lie on the circle that is centered at the origin and contains the point (3, 0)? Why?

A) Yes, because ( 3 )2 + ( 3 )2 = 9
B) Yes, because you can create always create a circle through two given points. C) No, because ( 3 , 3 ) is less than 3 units away from the origin.
D) No, because ( 3 , 3 ) is greater than 3 units away from the origin.

Answer 1

Its actually C his whole explanation is wrong

Explanation:

Answer 2

D is correct. Look at the picture of the graph I made. The point (3,3) is in the upper right corner, not on the circle. This is because for a circle,
x²+y²=r² where r is the radius. If we have the point (3,0) then the equation of the circle says

`3^2+0^2=r^2 \\ r=3`

Then for r=3 we can't get the point (3,3) because

`3^2+3^2 \ \\eq 3^2`