Conic Sections

Equation of a circle which passes through (3, 6) and touches the axes is

• x² + y² + 6x + 6y + 3 = 0
• x² + y² – 6x – 6y + 9 = 0
• x² + y² – 6x – 6y - 9 = 0
• None of these

If the focus of a parabola is (0, –3) and its directrix is y = 3, then its equation is

• x² = –12y
• x² = 12y
• y²= 12 x
• y²= -12 x

Tags

CCSS.HSG.GPE.A.2

2x² + 6y – 9 = 0

• Parabola Opens Up

• Parabola Opens Down

• Vertical Ellipse

• Horizontal Ellipse

4x² – 5y² + 2x – 8y + 10 = 0

• Circle
• Ellipse
• Hyperbola
• Parabola

What is the directrix of the parabola
(x - 4)² = 8(y + 3)?

• y = - 3
• x= 5
• y= - 5
• y= 2

Tags

CCSS.HSG.GPE.A.2

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

Put the ellipse in standard form

• A
• B
• C
• D

25x² + 5y² + 6x + 4y +2 = 0

• Circle
• Ellipse
• Hyperbola
• Parabola

6y² – 5x – 2y + 5 = 0

• Parabola
• Circle
• Hyperbola
• Ellipse

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSG.GPE.A.3

-6x² + 4y² + 9x + y = -7

• Circle
• Parabola
• Ellipse
• Hyperbola