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Preview questions
1. What is the general equation of a circle?
x^2 + y^2 = r^2 · x^2 + y^2 + 2gx + 2fy + c = 0 · a^2x^2 + b^2y^2 = 1 · x^2/a^2 + y^2/b^2 = 1
2. Which of the following is the standard form of the equation of a parabola that opens upwards?
y^2 = 4ax · x^2 = 4ay · x^2 = -4ay · y^2 = -4ax
3. The eccentricity of a circle is:
0 · 1 · 2 · undefined
4. What is the equation of a hyperbola with foci at (±c, 0) and vertices at (±a, 0)?
x^2/a^2 - y^2/b^2 = 1 · y^2/a^2 - x^2/b^2 = 1 · x^2 + y^2 = 1 · x^2 - y^2 = 1
5. If the distance between the foci of a hyperbola is 10 and the distance between the vertices is 6, what is the value of a?
3 · 5 · 4 · 6
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