Diagnostic Test on Conic Sections

Which conic section is formed when a plane intersects a cone parallel to its base?

• Parabola

• Ellipse

• Circle

• Hyperbola

What type of conic section is represented by the equation x^2+y^2=16?

• Parabola

• Ellipse

• Circle

• Hyperbola

Which conic section is defined as the set of all points equidistant from a fixed point (focus) and a fixed line (directrix)?

• Parabola

• Ellipse

• Circle

• Hyperbola

What conic section is formed when the plane intersects both nappes of the cone but is NOT perpendicular to the axis?

• Parabola

• Ellipse

• Circle

• Hyperbola

What is the degenerate form of a hyperbola?

• A single point

• Two intersecting lines

• A straight line

• A plane

Which conic section has an eccentricity e=0?

• Parabola

• Ellipse

• Circle

• Hyperbola

Which conic section has two separate curves called branches?

• Parabola

• Ellipse

• Circle

• Hyperbola

What is the degenerate case of a parabola?

• A single line

• Two parallel lines

• A point

• No real graph

What conic section is produced when a plane intersects the cone at an angle but only passes through one nappe?

• Parabola

• Ellipse

• Circle

• Hyperbola

Which of the following is NOT a degenerate conic section?

• A single point

• Two parallel lines

• A circle

• Two intersecting lines