Answer:
circle passes through (2,8)
Step-by-step explanation:
Given : equation of a circle is (x - 2)² + (y - 6)²= 4.
To find : It passes through point ______.
Solution : We have given that (x - 2)² + (y - 6)²= 4.
Standard form of circle is (x - h)² + (y - k)²= r².
Where , (h,k) is center point and r is radius.
Rewrite the given equation in standard form of circle (x - 2)² + (y - 6)²= 2².
Here, h = 2 and k = 6 , radius = 2.
We can plot points with the help of radius = 2 ,through which points circle passes
center ( 2,6)
up ( 2 , 6+2) = (2,8)
Down ( 2, 6-2 ) = (2,4)
Left (2-2,6) = (0,6)
Right (2+2 , 6) = = (4,6)
Therefore, circle passes through (2,8).
