Answer:
Option A) Circle.
Step-by-step explanation:
We are given the equation:
[tex](x - 3)^2 + (y - 12)^2 = 25[/tex]
A general equation of the circle is of the form:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
where (h,k) is the center of the circle and r is the radius of circle.
Comparing the two equations, we get,
[tex](h,k) = (3,12)\\r = \sqrt{25} = 5[/tex]
Thus, the given equation is equation of a circle centered at (3,12) and of radius 5 units.
