Quiz about Pre Cal (Conic Sections) Review

Question 1

What is the center of the ellipse?

Accepted Answer

(1, 0)

Answer

(0, 0)

Answer

(1, 5)

Answer

(0, 1)

Question 2

Write the equation of the circle with a radius of 3 and a center of (4, 2).

Accepted Answer

( x - 4)² + (y - 2)² = 3²

Answer

( x - 4)² + (y - 2)² = 3

Answer

( x - 2)² + (y - 2)² = 3²

Answer

( x + 4)² + (y + 2)² = 3²

Question 3

What is the equation of the circle shown in the graph?

Accepted Answer

(x-3)²+ (y+4)² = 9

Answer

(x-3)²+ (y+4)² = 3

Answer

(x+3)²+ (y-4)² = 9

Answer

(x+3)²+ (y-4)² = 3

Question 4

What is the vertex of the parabola: $$x+2=7\left(y-6\right)^2$$

Accepted Answer

(-2, 6)

Answer

(6, -2)

Answer

(-6, -2)

Answer

(-2, -6)

Question 5

Name the center of the ellipse and the a and b values: $$\frac{x^2}{100}+\frac{\left(y+2\right)^2}{25}=1$$

Accepted Answer

Center: (0, -2)

a=10

b=5

Answer

Center: (0, -2)

a = 100

b = 25

Answer

Center: (0, 2)

a = 10

b = 5

Answer

Center: (0, 2)

a=100

b=25

Question 6

The foci of an ellipse are located at (-2, 3) & (2, 3), where is the center?

Accepted Answer

(0, 3)

Answer

(3, 0)

Answer

(-2, 0)

Answer

(2, 0)

Question 7

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

Accepted Answer

2

Answer

4

Answer

3

Answer

16

Question 8

What is the center of the given equation?

Accepted Answer

(h, k) = (-4, -3)

Answer

(h, k) = (4, 3)

Answer

(h, k) = (-4, 3)

Answer

(h, k) = (4, -3)

Question 9

Identify the center and the length of a and b.

Accepted Answer

C: (0,0)  a= 5, b=2

Answer

C: (0,4)  a= 25, b=4

Answer

C: (0,0)  a= 4, b=25

Answer

C: (0,5)  a= 2, b=5

Question 10

What are the vertices of the ellipse?

Accepted Answer

(3, -5) and (3, 7)

Answer

(0, 0)

Answer

(7, 1) and (-1, 1)

Answer

(3, 1)

Question 11

What are the co-vertices of the ellipse?

Accepted Answer

(-5,0) and (-5,6)

Answer

(-5,3)

Answer

(3,-5)

Answer

(-10, 3) and (0,3)

Question 12

Classify the conic section.

Accepted Answer

Hyperbola

Answer

Circle

Answer

Ellipse

Answer

Parabola

Question 13

Classify the conic section.

Accepted Answer

Ellipse

Answer

Circle

Answer

Hyperbola

Answer

Parabola

Question 14

Classify the conic section.

Accepted Answer

Parabola

Answer

Circle

Answer

Ellipse

Answer

Hyperbola

Question 15

Classify the conic section.

Accepted Answer

Circle

Answer

Ellipse

Answer

Line

Answer

None of these

Question 16

Question 16.

Accepted Answer

Horizontal Hyperbola

Answer

Vertical Hyperbola

Answer

Vertical Ellipse

Answer

Horizontal Ellipse

Question 17

This parabola $$\left(y+5\right)^2=-12\left(x+4\right)$$ opens ____

Accepted Answer

to the Left

Answer

Downward

Answer

Upward

Answer

to the Right

Question 18

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

It is also the degenerate conics of Circle.

Accepted Answer

a point

Answer

Degenerate conics

Answer

a single line

Answer

intersecting lines

Question 19

What is formed when the plane intersects along the generator?

Accepted Answer

a single line

Answer

degenerate conics

Answer

a point

Answer

intersecting lines

Question 20

It is the Degenerate form of Hyperbola.

Accepted Answer

intersecting lines

Answer

degenerate conics

Answer

a point

Answer

a single line

Question 21

These are two-dimensional curves made by the intersection of a plane and a double right circular cone. What are these?

Accepted Answer

Conic Sections

Answer

Plane figures

Answer

Undefined geometrical figures

Answer

Double-napped cone

Question 22

Identify the conic:
-6x² + 4y² + 9x + y = -7

Accepted Answer

Hyperbola

Answer

Circle

Answer

Parabola

Answer

Ellipse

Question 23

What is the length of the transverse axis in the graph of the hyperbola shown?

Accepted Answer

4

Answer

2

Answer

6

Answer

8

Question 24

What is the length of the Transverse axis in the graph of the hyperbola shown?

Accepted Answer

8

Answer

2

Answer

4

Answer

6

Question 25

What is the length of the conjugate and transverse axes of the hyperbola:

$$\frac{x^2}{25}-\frac{y^2}{144}=1$$

Accepted Answer

conjugate axis length: 24

transverse axis length: 10

Answer

conjugate axis length: 10

transverse axis length: 12

Answer

conjugate axis length: 10

transverse axis length: 24

Answer

conjugate axis length: 5

transverse axis length: 12

Question 26

Which is a horizontal ellipse?

Accepted Answer

$$\frac{x^2}{16}+\frac{y^2}{9}=1$$

Answer

$$\frac{x^2}{4}+\frac{y^2}{9}=1$$

Answer

$$\frac{x^2}{16}+\frac{y^2}{16}=1$$

Answer

$$x^2+\frac{y^2}{49}=1$$

Question 27

An ellipse is a set of points in which the _____ of the distances from the two foci is constant.

Accepted Answer

sum

Answer

difference

Answer

product

Answer

quotient

Question 28

In an ellipse, the largest value among a, b, or c is _____.

Accepted Answer

a

Answer

b

Answer

c

Answer

d

Question 29

What is the equation to get the foci of the ellipse?

Accepted Answer

$$c^2=a^2-b^2$$

Answer

$$c^2=a^2+b^2$$

Answer

$$c=\sqrt{a-b}$$

Answer

$$c=\sqrt{a+b}$$

Question 30

What is the equation of the minor axis of this ellipse?

Accepted Answer

y = 1

Answer

x = 1

Answer

x = 3

Answer

y = 3

Question 31

What is the equation of the major axis of this ellipse?

Accepted Answer

x = 3

Answer

x = 1

Answer

y = 1

Answer

y = 3

Pre Cal (Conic Sections) Review

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