Answer:
(2,√21)
Step-by-step explanation:
The circle centered at the origin has equation:
[tex] {x}^{2} + {y}^{2} = 25[/tex]
Any point that satisfies this equation lie on this circle.
When x=2, we substitute and solve for y.
[tex] {2}^{2} + {y}^{2} = 25 \\ 4 + {y}^{2} = 25 \\ {y}^{2} = 25 - 4 \\ {y}^{2} = 21[/tex]
Take square root to get:
[tex]y = \pm \sqrt{21} [/tex]
Therefore (2,-√21) and (2,√21) are on this circle.
From the options, (2,√21) is the correct answer
