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Introduction to Conic Sections

Total questions: 14

Worksheet time: 7mins

Name
Class
Date
1.

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

a)

Parabola

b)

Ellipse

c)

Hyperbola

d)

Conic sections

2.

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

a)

Circle

b)

Parabola

c)

Ellipse

d)

Hyperbola

3.

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

a)

Parabola

b)

Ellipse

c)

Circle

d)

Hyperbola

4.

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

a)

Parabola

b)

Ellipse

c)

Circle

d)

Hyperbola

5.

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

a)

Parabola

b)

Ellipse

c)

Circle

d)

Hyperbola

6.

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

a)

Parabola

b)

Ellipse

c)

Circle

d)

Hyperbola

7.

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 ________________.

a)

Parabola

b)

Ellipse

c)

Circle

d)

Hyperbola

8.

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

a)

Parabola

b)

Ellipse

c)

Circle

d)

Hyperbola

9.

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.

a)

Parabola

b)

Ellipse

c)

Circle

d)

Hyperbola

10.

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

a)

Parabola

b)

Ellipse

c)

Circle

d)

Hyperbola

11.

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.

a)

parabola

b)

ellipse

c)

circle

d)

hyperbola

12.

What is formed when the plane intersects the cones at the vertex only?

a)

Degenerate conics

b)

a point

c)

a single line

d)

intersecting lines

13.

What is formed when the plane intersects tangent to the cones?

a)

degenerate conics

b)

a point

c)

a single line

d)

intersecting lines

14.

A circle is a special type of an ellipse.

a)

TRUE

b)

FALSE