Conic Sections

The center of the circle $(x-2{)}^2+(y+3{)}^2=16$ is:

The radius of the circle $x^2+y^2=25$ is:

The vertex of the parabola $y=(x-1{)}^2+3$ is:

The equation of a circle with centre $(2,-3)$ and radius $5$ is:

Find the radius of the circle $x^2+y^2-4x+6y+4=0$.

A circle centered at the origin passes through $(3,4)$. Its equation is:

For the ellipse ${\displaystyle \frac{x^2}{16}}+{\displaystyle \frac{y^2}{9}}=1$, the lengths of the semi-axes are:

For the hyperbola ${\displaystyle \frac{x^2}{9}}-{\displaystyle \frac{y^2}{16}}=1$, the asymptotes have equations:

The parabola $y^2=8x$ has focus at:

The ellipse ${\displaystyle \frac{x^2}{25}}+{\displaystyle \frac{y^2}{9}}=1$ has semi-major axis of length: