Circles and Ellipse Practice

Determine the center of the circle given:  $\left(x+4\right)^2+\left(y-7\right)^2=1$  

• (4, 7)

• (–4, –7)

• (–4, 7)

• (4, –7)

Tags

CCSS.HSG.GPE.A.1

Write the equation of the circle centered at (5, –3) and has a radius of length 7.

• $\left(x-5\right)^2+\left(y-3\right)^2=7$

• $\left(x-5\right)^2+\left(y+3\right)^2=7$

• $\left(x-5\right)^2+\left(y+3\right)^2=14$

• $\left(x-5\right)^2+\left(y+3\right)^2=49$

Tags

CCSS.HSG.GPE.A.1

Determine the length of the MAJOR Axis given: $\frac{\left(x+1\right)^2}{4}+\frac{\left(y-2\right)^2}{9}=1$  

• 6

• 4

• 8

• 18

Tags

CCSS.HSG.GPE.A.1

Given the equation  $\frac{x^2}{169}+\frac{\left(y-7\right)^2}{144}=1$  
what are the foci?

• (5, 7) and (-5, 7)

• (0, 12) and (0, 2)

•  $\left(0,\ 7\pm2\sqrt{30}\right)$  

• (0, -2) and (0, -12)

Write the standard form equation of an ellipse that has:

center (-5, 6)

vertex (-5, -4)

co-vertex (-13, 6)

• $\frac{\left(x+5\right)^2}{64}+\frac{\left(y-6\right)^2}{100}=1$

• $\frac{\left(x-5\right)^2}{64}+\frac{\left(y+6\right)^2}{100}=1$

• $\frac{\left(x+5\right)^2}{100}+\frac{\left(y-6\right)^2}{64}=1$

• $\left(x+5\right)^2+\frac{\left(y-6\right)^2}{25}=1$

Tags

CCSS.HSG.GPE.A.1

Write the standard form equation of an ellipse that has:

vertices (-10, 9), (-10, -7)

co-vertices (-7, 1), (-13, 1)

• $\frac{\left(x+10\right)^2}{9}+\frac{\left(y-1\right)^2}{64}=1$

• $\frac{\left(x-1\right)^2}{9}+\frac{\left(y-10\right)^2}{64}=1$

• $\frac{\left(x-10\right)^2}{4}+\frac{\left(y+1\right)^2}{64}=1$

• $\frac{\left(x+10\right)^2}{64}+\frac{\left(y-1\right)^2}{9}=1$

Tags

CCSS.HSG.GPE.A.1

What are the vertices of the ellipse?

• (0, 0)
• (7, 1) and (-1, 1)
• (3, -5) and (3, 7)
• (3, 1)

Tags

CCSS.HSG.GPE.A.1

Which of the following is the equation of the circle with a center at (5, 10) and diameter = 10

• (x - 5)² + (y - 10)² = 10

• (x - 5)² + (y - 10)² = 100

• (x + 5)² + (y + 10)² = 25

• (x - 5)² + (y - 10)² = 25

Tags

CCSS.HSG.GPE.A.1

Graph the ellipse:

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• 
• 
• 

Tags

CCSS.HSG.GPE.A.1

Which of the following is the graph of  $\frac{\left(x+3\right)^2}{4}+\frac{\left(y+1\right)^2}{9}=1$  

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Tags

CCSS.HSG.GPE.A.1