Answer:
The two points on the circle are (-3,0) and (0,1).
Step-by-step explanation:
Given : The center of a circle is at A(-3,5) and has a radius of 5.
To find : Name two points on the circle?
Solution :
The general equation of the circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where, (h,k) are the center of the circle
(x,y) are the points on the circle
r is the radius of the circle.
We have given, A(-3,5)=(h,k) is the center
and r=5
Substitute in the equation,
[tex](x+3)^2+(y-5)^2=5^2[/tex]
[tex](x+3)^2+(y-5)^2=25[/tex]
Plotting this equation on the graph.
There are many the points on the circle few are (-3,0) and (0,1).
Refer the attached figure below.
Therefore, The two points on the circle are (-3,0) and (0,1).
