Answer:
Option D is the answer.
Step-by-step explanation:
The circle given on the graph has the center at origin (0, 0).
We have to find the point (2, √6) lies on the circle or not.
If the point lie on the circle then distance of this point from origin = radius of the circle.
Given from the graph radius = 3 units
Now distance of point (2, √6) from (0, 0) = [tex]\sqrt{(2-0)^{2}+(\sqrt{6}-0)^{2}} =\sqrt{4 + 6}=\sqrt{10}=3.16[/tex]
Distance between the point and origin is more than radius 3 units.
Therefore point doesn't lie on the circle.
Option D is the answer.
