circles + ellipses

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

• ( x - 4)² + (y - 2)² = 3
• ( x - 2)² + (y - 2)² = 3²
• ( x - 4)² + (y - 2)² = 3²
• ( x + 4)² + (y + 2)² = 3²

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

Tags

CCSS.HSG.GPE.A.1

Classify the conic section.

• Circle
• Ellipse
• Line
• None of these

Classify the given conic section and match it's characteristics:
(x - 3)² + ( y + 5)² = 25

• Ellipse; center (3, -5)
• Ellipse; Center (-3,  5) ; radius = 5
• Circle; Center (3, - 5) ; radius = 25
• Circle; Center (3, - 5) ; radius = 5

In the equation (x+2)²+(y+3)²=49, the center of the circle is at....

• (2, 3)
• (3, 2)
• (-3, -2)
• (-2, -3)

In the equation (x-4)²+(x-3)²=25, the center of the circle is at...

• (-3, -4)
• (4, 3)
• (-4, -3)
• (3, 4)

Classify the conic section.

• Circle
• Ellipse
• Hyperbola
• Parabola

What are the vertices of the ellipse?

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

Tags

CCSS.HSG.GPE.A.1

What is the center of the ellipse?

• (0, 0)
• (1, 5)
• (1, 0)
• (0, 1)

Convert the to standard form.                          x² + y² + 6x - 10y - 15 = 0

• (x + 6)² + (y - 10)² = 15²
• (x + 3)² + (y - 5)² = 19²
• (x + 3)² + (y - 5)² = 7
• (x + 3)² + (y - 5)² = 49

Tags

CCSS.HSG.GPE.A.1