Question

identify this conic section. $x^{2}+y^{2}=25$
parabola
circle
hyperbola
line
ellipse

Explanation:

Step1: Recall circle standard form

The standard equation of a circle centered at the origin is $x^2 + y^2 = r^2$, where $r$ is the radius.

Step2: Match given equation to form

The given equation is $x^2 + y^2 = 25$, which fits $x^2 + y^2 = r^2$ with $r^2=25$ (so $r=5$).

Answer:

B. circle