Conic Sections Quiz

What is the equation of a circle in standard form?

• x^2 + y^2 = a^2

• x^2/a^2 + y^2/b^2 = 1

• x^2/a^2 - y^2/b^2 = 1

• y^2 - 4ax = 0

Which conic section is defined by the equation y^2 = 2(B-L)x + (L^2 - B^2)?

• Circle

• Ellipse

• Hyperbola

• Parabola

What is the eccentricity of an ellipse if 0 < ε < 1?

• ε = 0

• ε > 1

• ε < 1

• ε = 1

In a hyperbola, what is the major axis defined as?

• a = x1 / x2

• a = x1 + x2

• a = x1 - x2

• a = x1 * x2

What is the standard equation of a hyperbola?

• (x-11/3)^2(16/9) - y^2(4/3) = 1

• (x-2)^2(9) - 4y^2(45) = 1

• (x+5/3)^2(16/9) - y^2(4/3) = 1

• (x-5/3)^2(16/9) - y^2(4/3) = 1

What is the equation of the parabola with directrice line y = -x - 1 and focus (1,1)?

• x^2 + y^2 - 2xy - 3x - 3y + 3 = 0

• x^2 - y^2 = 0

• x^2 + 4y^2 = 1

• 2x^2 - 3y = 0

Which conic section is defined by the equation y^2 = 2(B-L)x + (L^2 - B^2)?

• Hyperbola

• Circle

• Ellipse

• Parabola

What is the eccentricity of a hyperbola if ε > 1?

• ε = 0

• ε < 1

• ε = 1

• ε > 1

In a hyperbola, what is the minor axis defined as?

• b = a + √(ε^2 - 1)

• b = a / √(ε^2 - 1)

• b = a * √(ε^2 - 1)

• b = a - √(ε^2 - 1)

What is the standard equation of an ellipse?

• (x+5/3)^2(16/9) - y^2(4/3) = 1

• (x-5/3)^2(16/9) + y^2(4/3) = 1

• (x-2)^2(9) - 4y^2(45) = 1

• (x-11/3)^2(16/9) - y^2(4/3) = 1