Free Printable CONIC SECTIONS AND CIRLCES

1.

What conic section is being illustrated by the image being shown?

a)

Circle

b)

Parabola

c)

Ellipse

d)

Hyperbola

2.

Which of the following is the type of conic sections as the surface of two cones with plane as figure?

a)

Circle

b)

Parabola

c)

Hyperbola

d)

Ellpise

3.

Which of the following is the type of conic sections as the surface of two cones with plane as figure?

a)

Circle

b)

Parabola

c)

Ellipse

d)

Hyperbola

4.

Which of the following real-life images illustrated the ellipse?

a)

b)

c)

d)

5.

Which of the following is the type of conic sections as the surface of two cones with plane as figure?

a)

Circle

b)

Parabola

c)

Ellipse

d)

Hyperbola

6.

Which of the following is the type of conic sections as the surface of two cones with plane as figure?

a)

Circle

b)

Parabola

c)

Ellipse

d)

Hyperbola

7.

In the picture on the left, what conic section can you visualize?

(a)

8.

Which of the following is a set of points that are equidistant from a certain point?

a)

Circle

b)

Parabola

c)

Ellipse

d)

Hyperbola

9.

There are _____ types of conic sections.

a)

1

b)

2

c)

3

d)

4

10.

What type of conic section is shown?

a)

Circle

b)

Ellipse

c)

Parabola

d)

Hyperbola

11.

What type of conic section is shown?

a)

Circle

b)

Ellipse

c)

Parabola

d)

Hyperbola

12.

What type of conic section is shown?

a)

Circle

b)

Ellipse

c)

Parabola

d)

Hyperbola

13.

What type of conic section is shown?

a)

Circle

b)

Ellipse

c)

Parabola

d)

Hyperbola

14.

The following are degenerate conics except:

a)

Point

b)

Pair of intersecting lines

c)

Plane

d)

Single Line

15.

The curves of intersection that the plane makes with the double right circular cone are called .

(a)

16.

What type of conic section if a plane parallel to side of cone?

a)

Ellipse

b)

Hyperbola

c)

Parabola

d)

Circle

17.

The following are degenerate conics except:

a)

Point

b)

Pair of intersecting lines

c)

Plane

d)

Single Line

18.

The curves of intersection that the plane makes with the double right circular cone are called .

(a)

19.

What type of conic section if a plane perpendicular to cone axis?

a)

Ellipse

b)

Hyperbola

c)

Parabola

d)

Circle

20.

If the plane passes through the vertex of the cone, the conic sections formed are called generate conics.

a)

TRUE

b)

FALSE

21.

The following are conic sections except:

a)

Circle

b)

Ellipse

c)

Point

d)

Parabola

22.

This picture formed ______.

a)

Ellipse

b)

Circle

c)

Hyperbola

d)

Parabola

23.

This picture formed _________.

a)

Ellipse

b)

Circle

c)

Hyperbola

d)

Parabola

24.

This picture formed _______.

a)

Ellipse

b)

Circle

c)

Hyperbola

d)

Parabola

25.

Which conic section results from the intersection of the plane and the double right circular cone shown in the figure?

a)

Circle

b)

Parabola

c)

Ellipse

d)

Hyperbola

26.

Which conic section results from the intersection of the plane and the double right circular cone shown in the figure?

a)

Circle

b)

Parabola

c)

Ellipse

d)

Hyperbola

27.

Which conic section results from the intersection of the plane and the cone shown in the figure?

a)

Circle

b)

Parabola

c)

Ellipse

d)

Hyperbola

28.

Identify the conic section in the picture.

a)

Circle

b)

Parabola

c)

Ellipse

d)

Hyperbola

29.

Identify the conic section in the picture.

a)

Circle

b)

Parabola

c)

Ellipse

d)

Hyperbola

30.

Identify the conic section in the picture.

a)

Circle

b)

Parabola

c)

Ellipse

d)

Hyperbola

31.

Which of the following is not a degenerate conic?

a)

A point

b)

A straight line

c)

Two intersecting lines

d)

Three straight lines

32.

What are the different degenerate conic sections?

a)

point, line, two intersecting line

b)

point, line, three intersecting line

c)

point, line, four intersecting lines

d)

point, line, five intersecting lines

33.

The circle is a special kind of ellipse.

a)

True

b)

False

34.

An ellipse is formed if the angle of the cutting plane with the vertical axis is less than the vertex angle.

a)

True

b)

False

35.

What is a conic section?

a)

a 3D shape that resembles a cone

b)

a shape made when a plane intersects a double right circular cone

c)

when two conics intersect and form a shape

d)

a line extending indefinitely in both directions

36.

In the equation (x+2)²+(y-3)²=4, the radius of the circle is...

a)

4

b)

2

c)

3

d)

16

37.

In the equation (x-4)²+(x-3)²=25, the radius is

a)

4

b)

3

c)

5

d)

25

38.

In the equation
(x-3)²+(y-2)²=16, the center of the circle is...

a)

(3,2)

b)

(-3, -2)

c)

(-2, -3)

d)

(2, 3)

39.

Write the equation of a circle with center
(7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

40.

What is the center of the circle with this equation is (x+2)²+(y-4)²=41?

a)

(2,-5)

b)

(-2,4)

c)

(2,-4)

d)

(-2, -4)

41.

What is the equation for this circle?

a)

(x+1)+(y+1)=9

b)

x²+y²=9

c)

x+y=9

42.

What is the radius of the circle with this equation of (x-5)²+(y+7)²=8?

a)

4

b)

8

c)

4√2

d)

2√2

43.

Write the equation of a circle with center (7, 0) with radius 3.

a)

(x - 7)² + y² = 9

b)

x² + (y -7)² = 9

c)

(x - 7)² + y² = 3

d)

x² + (y -7)² = 3

44.

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

a)

Center (4,3)
Radius = 5 units

b)

Center (4,3)
Radius = 25 units

c)

Center (-4,-3)
Radius = 25 units

d)

Center (-4,-3)
Radius = 5 units

45.

What is the center of the circle with equation x² + y² = 1?

a)

(1, 1)

b)

(0, 0)

c)

not enough information

d)

(-1, -1)

46.

Write the equation of a circle with center (h,k) and radius r.

a)

x² + y² = r²

b)

(x + h)² + (y + h)² = r²

c)

(x - h)² + (y - k)² = r²

d)

(x - h)² - (h - k)² = r

47.

Write the equation at the origin with radius 6.

a)

x² + y² = 6

b)

x² + y² = 36

c)

x + y = 6

d)

x + y = 36

48.

The point (-5,6) is on a circle with center (-1,3) write the equation of the circle

a)

(x+1)² + (y-3)²= 4000

b)

(x+5)² + (y-0)²= 25

c)

(x+1)² + (y-3)²= 25

d)

(x-1)² + (y+3)²= 25

49.

The general form ofa circle.

a)

$\left(x-h\right)^2+\left(y-k\right)^2=r^2$

b)

$\left(x+h\right)^2-\left(y+k\right)^2=r^2$

c)

$x^2+y^2+Dx+Ey+F=0$

d)

$x^2-y^2+Dx+Ey+F=0$

50.

The standard formula for a circle.

a)

$\left(x-h\right)^2+\left(y-k\right)^2=r^2$

b)

$\left(x+h\right)^2-\left(y+k\right)^2=r^2$

c)

$x^2+y^2+Dx+Ey+F=0$

d)

$x^2-y^2+Dx+Ey+F=0$

CONIC SECTIONS AND CIRLCES

Total questions: 50

Worksheet time: 48mins

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