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

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
$3^2+3^2 \ \neq 3^2$

Answer 2

Answer:

Its actually C his whole explanation is wrong

Step-by-step explanation: