Quiz

Question 1 · medium

For x^2/49 + y^2/25 = 1, what are a, b, and the foci?

Question 2 · easy

Write the equation of the ellipse with vertices (±4,0) and co-vertices (0,±2).

Question 3 · easy

For x^2/9 - y^2/4 = 1, find the asymptotes.

Question 4 · easy

Identify: 5x^2 + 5y^2 - 20 = 0.

Question 5 · medium

Identify: x^2 - 3y^2 + 6 = 0.

Question 6 · easy

What is c for the hyperbola x^2/16 - y^2/9 = 1?

Question 7 · medium

For y^2/9 - x^2/27 = 1, what type of hyperbola, and what are the vertices?

Question 8 · medium

Write the equation of the hyperbola with vertices (±5,0) and asymptotes y = ±(4/5)x.

Question 9 · challenge

Convert to standard form and identify: 4x^2 + 9y^2 - 32x + 36y + 64 = 0.

Question 10 · medium

A hyperbola has foci (±13,0) and vertices (±5,0). Write its equation.