Ellipses & Hyperbolas Review

State the length of the latus rectum.

(a)  

State the eccentricity of the following ellipse.

Write the equation for an ellipse with co-vertices $$\left(\pm5,\ 0\right)$$  with a focal distance of 24.

**Type your answer with NO SPACES!**

(a)  

Write the equation for an ellipse with vertices $$\left(0,\ 7\right)$$ and $$\left(0,\ -9\right)$$  with an eccentricity of 0.5

**Type your answer with NO SPACES!**

(a)  

Select the coordinates of the foci.

Write the equation of a vertical hyperbola whose asymptotes contain the diagonals of the rectangle with the coordinates $$\left(1,\ 12\right),\ \left(11,\ 12\right),\ \left(1,\ 0\right),\ \left(11,\ 0\right)$$  

(a)  

Write the equation of a hyperbola with asymptotes $$y=\frac{4}{3}x+\frac{13}{3}$$  and $$y=-\frac{4}{3}x-\frac{19}{3}$$  with a focus at $$\left(-4,\ 4\right)$$  

(a)  

Select the asymptotes of the following hyperbola.

$$-x^2+9y^2-4x+72y=-131$$  

State the horizontal asymptote of $$\left(x-3\right)\left(y+5\right)=10$$  

(a)  

State the center of the hyperbola

$$xy-4x+2y-11=0$$  

(a)