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WorksheetsIntroduction to Conic Sections
Total questions: 14
Worksheet time: 7mins
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
A/An __________________ is the set of all points in a plane such that the absolute value of the difference of distances from two fixed points is constant.
parabola
ellipse
circle
hyperbola
What is formed when the plane intersects the cones at the vertex only?
Degenerate conics
a point
a single line
intersecting lines
What is formed when the plane intersects tangent to the cones?
degenerate conics
a point
a single line
intersecting lines
A circle is a special type of an ellipse.
TRUE
FALSE
