Introduction to Conics

These are curves obtained by the intersection of right circular cone and a plane.

• Parabola

• Ellipse

• Hyperbola

• Conic sections

There are only three types of conic sections. Which of the following is not a type of conic section?

• Circle

• Parabola

• Ellipse

• Hyperbola

If the plane intersects the cone parallel to the x-axis as shown in the figure, the curve formed is a/an ____________.

• Parabola

• Ellipse

• Circle

• Hyperbola

If the plane intersects both nappes (cones) as shown in the figure, the conic section formed is a/an ______________.

• Parabola

• Ellipse

• Circle

• Hyperbola

If the plane intersects the cone as shown in the figure, the conic section formed is a/an _____________.

• Parabola

• Ellipse

• Circle

• Hyperbola

A __________ is a conic section which is mirror-symmetrical and is approximately U-shaped.

• Parabola

• Ellipse

• Circle

• Hyperbola

If the plane intersects the cone at an angle to the x-axis (tilted) to form a bounded curve, then the conic section is a/an ________________.

• Parabola

• Ellipse

• Circle

• Hyperbola

A/An ______________ is the set of all points in a plane that are equidistant from a given point in the plane called the center.

• Parabola

• Ellipse

• Circle

• Hyperbola

A/An ________________ is the set of all points in a plane that are the same distance from a fixed point called the focus and a fixed line called the directrix.

• Parabola

• Ellipse

• Circle

• Hyperbola

A/An ______________ is the set of all points in a plane such that the sum of the distances from two fixed points is constant.

• Parabola

• Ellipse

• Circle

• Hyperbola