Question

Which of the following points lies on the circle whose center is at the origin and whose radius is 10? (5 , 5 ) (0, 2 ) ( , 0)

Answer 1

Since the standard form of the circle is:
* 3.0
(x-h)^2+(y-k)^2=r^2, and (h,k)=(0,0) and r=10 so
we have:

×^2+y^2=100 Looking at the points you have:
(v10, 0) does not work as
(v10)^2+0^2=10+0=10

(0,2V5) does not work as
0^2+(2/5)^2=0+20=20

(5v2, 5V2) works as
(542)^2+572)^2=50+50=100