Conic Sections

What is the center of (x - 5)²  + (y + 1)² = 25

• (5,-1)
• (-5,1)
• (1,5)
• (-1,5)

Tags

CCSS.HSG.GPE.A.1

Given radius of 3 and center of (-4,6)

• (x + 4)²  + (y - 6)² = 9
• (x + 4)²  + (y - 6)² = 3
• (x + 6)²  + (y - 4)² = 9
• (x - 4)²  + (y + 6)² = 9

Tags

CCSS.HSG.GPE.A.1

• (x - 3)²  + (y + 4)² = 9
• (x - 3)²  + (y + 4)² = 3
• (x)²  + (y)² = 9
• (x - 1)²  + (y + 1)² = 7

Tags

CCSS.HSG.GPE.A.1

Given an equation of a circle. x² +y²+6x-12y+41=0

What is the center and the radius of a circle?

• Center(-4,6),r=7

• Center(-3,6),r=2

• Center(-3,6),r=3

• Center(10,6),r=2

Classify the conic section.

• Circle
• Ellipse
• Line
• None of these

In the equation (x-3)²+(y+4)²=121, the radius of the circle is

• 242
• 11
• 121
• 22

Tags

CCSS.HSG.GPE.A.1

6x² + 6y² – 3x + 4y = 0

• Circle
• Parabola
• Hyperbola
• Ellipse

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSG.GPE.A.3

Given the following equation,
x²+5xy+8y²−10x+3y+10=0
What type of conic section is this?

• Ellipse
• Circle
• Hyperbola
• Parabola

Tags

CCSS.HSG.GPE.A.2

CCSS.HSG.GPE.A.3

Identify the conic:  6y² – 5x – 2y + 5 = 0

• Parabola
• Circle
• Hyperbola
• Ellipse

Tags

CCSS.HSG.GPE.A.2

CCSS.HSG.GPE.A.3

How do you know if a hyperbola opens up and down?

• x comes first
• y comes first
• a is the first denominator
• b is the first denominator