Answer:
Option B) (0,0) is the correct answer.
Step-by-step explanation:
Given equation of circle is:
[tex]x^2+y^2 = 2[/tex]
The general form of equation of circle with center at (h,k) and radius r is given by:
[tex](x-h)^2+(y-k)^2 = r^2[/tex]
The given equation of circle can also be written as:
[tex](x-0)^2+(y-0)^2 = 2[/tex]
Comparing it with the general form of equation, we get
h = 0 , k = 0
So the center is (0,0)
Hence,
Option B) (0,0) is the correct answer.