Test Review: Conic Sections

Conic Sections Test Review

Review all 4 Conics

Multiple Choice

Which conic section is represented by the equation

4x² + 25y² - 8x + 150y + 129 = 0

• Circle

• Ellipse

• Hyperbola

• Parabola

Multiple Choice

Identify the conic: 6x² + 6y² – 3x + 4y = 0

• Circle

• Parabola

• Hyperbola

• Ellipse

Multiple Choice

Identify the conic: 36x² – 5y² + 8x + 2y + 12 = 0

• Hyperbola

• Parabola

• Ellipse

• Circle

Multiple Choice

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

• Ellipse
• Circle
• Hyperbola
• Parabola

Multiple Choice

What is the equation of the circle?

• (x+1)² + (y +1)² = 3

• (x+1)² + (y -1)² = 3

• (x+1)² + (y +1)² = 9

• (x-1)² + (y -1)² = 9

Multiple Choice

What are the foci of the shifted ellipse?

• $\left(-5,1\right),\ \left(-1,1\right)$

• $\left(\sqrt{3},0\right),\left(-\sqrt{3},0\right)$

• $\left(0,1\right),\ \left(-6,1\right)$

• 
  

  $\left(-3+\sqrt{3},1\right),\ \left(-3-\sqrt{3},1\right)$

Multiple Choice

What is the equation of a circle centered at (-2,5) and a radius of 9

• (x-2)²⁺(y+5)²=81
• (x+2)²⁺(y-5)²=81
• (x-2)²⁺(y+5)²=9
• (x+2)²+(y-5)²=9

Multiple Choice

What is the value of a² for the given hyperbola?

• 1

• -2

• 25

• 16

Multiple Choice

Given the following, write the equation of the ellipse.

• A

• B

• C

• D

Multiple Choice

 What is p in the equation:$\left(x+4\right)=-\frac{1}{40}\left(y-9\right)^2$  

• - 10

• 4

• - 40

• -4

Multiple Choice

What is the center, a and b values for the following equation:

x² + 4y² + 16x - 80y + 320 = 0

• (-8, 10); a = 12, b = 6

• (-8, 10); a = 6, b = 12

• (8, -10); a = 12, b = 6

• (8, -10); a = 6, b = 12

Multiple Choice

Is the hyperbola vertical or horizontal? 

• Vertical
• Horizontal

Multiple Choice

Given the equation of the ellipse and the C value, write the foci ordered pair

• $\left(4\pm7.42,-2\right)$

• $\left(4,-2\pm7.42\right)$

• $\left(-4\pm7.42,\ 2\right)$

• $\left(-4,\ 2\pm7.42\right)$

Multiple Choice

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

• Parabola

• Circle

• Hyperbola

• Ellipse