Lessons on Conics

What are the coordinates of the centre and the radius of the circle with equation:
(x + 2)² + (y + 5)² = 16 ?

• Centre (2,5)
  Radius = 16 units
• Centre (2,5)
  Radius = 4 units
• Centre (-2,-5)
  r = 16 units
• Centre (-2,-5)
  Radius = 4 units

Tags

CCSS.HSG.GPE.A.1

Which is the equation of a circle with center (2, 1) that passes through (2, 4)?

• (x – 2)² + (y – 1)² = 9
• (x – 2)² + (y – 1)² = 3
• (x + 2)² + (y + 1)² = 9
• (x + 2)² + (y + 1)² = 3

Tags

CCSS.HSG.GPE.A.1

For the ellipse with the following characteristics:
Vertices ( 4, 3), (4, - 9)
Length of minor axis is 8
What is the center of this ellipse?

• (4, 6)
• ( - 4, 3)
• (6, 4)
• (4, -3)

Tags

CCSS.HSG.GPE.A.1

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

Tags

CCSS.HSG.GPE.A.1

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

• (4 ± 7.42, -2)
• (4, - 2 ± 7.42)
• (- 4 ± 7.42, 2)
• ( - 4, 2 ± 7.42)

Tags

CCSS.HSG.GPE.A.1

The foci of an ellipse are located at (-2, 3) & (2, 3), where is the center?

• (0, 3)
• (3, 0)
• (-2, 0)
• (2, 0)

Tags

CCSS.HSG.GPE.A.1

What kind of conic is it?

• Vertical Ellipse
• Vertical Hyperbola
• Horizontal Ellipse
• Horizontal Hyperbola

Tags

CCSS.HSG.GPE.A.1

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

Tags

CCSS.HSG.GPE.A.1

Why is the graph of the circle incorrect?
(x-3)² + y² = 4

• The radius should be 4.
• The center should be at (3,0).
• The radius should be -2.
• The center should be at (-3,0).

Tags

CCSS.HSG.GPE.A.1

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

Tags

CCSS.HSG.GPE.A.1