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Conic Sections Review

Authored by Alex Cardoso

Mathematics

10th - 12th Grade

CCSS covered

Used 90+ times

Conic Sections Review
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25 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which conic section is represented by the equation

x2 + y2 - 10x - 4y - 21 = 0

Circle

Ellipse

Hyperbola

Parabola

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the directrix of the parabola
(x - 4)2 = 8(y + 3)?

y = - 3
x= 5
y= - 5
y= 2

Tags

CCSS.HSG.GPE.A.2

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

What are the foci of the shifted ellipse?

(-5,1) and (-1,1)
(±√3,0)
(0,1) and (-6,1)
(√3 - 3,1) and (-√3 - 3,1)

Tags

CCSS.HSG.GPE.A.1

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

A hyperbola centered at (-3, 2) with a horizontal tranverse axis has asymptotes y = ± ¾x.  Which of the following could be the equation of the hyperbola in standard form?

(x + 3)2/16 + (y - 2)2/ 9 = 1
(x + 3)2/ 4 - (y - 2)2/ 3 = 1
(x + 3)2/16 - (y - 2)2/ 9 = 1
(x + 3)2/ 9 - (y - 2)2/ 16 = 1

Tags

CCSS.HSG.GPE.A.3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Which type of conic section is this equation?

circle

ellipse

hyperbola

parabola

Tags

CCSS.HSG.GPE.A.1

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The focus is at (2,0) and the vertex is at (-4,0).  What is the equation of the parabola?

y2 = 24(x+4)
(y+4)2 = -12x
x2 = 16(y+4)
(x+4)2  = -20y

Tags

CCSS.HSG.GPE.A.2

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Is the hyperbola vertical or horizontal? 

Vertical
Horizontal

Tags

CCSS.HSG.GPE.A.3

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