Conics and Polar

If an ellipse is elongated horizontally then which statement if true?

• b² is the denominator of the y² term

• a² is the denominator of the x² term

• a² is the denominator of the y² term

• a² is the denominator of the y² term

In an ellipse the relationship between a, b, and c can be expressed as . . .

• a² + c² = b²

• a² + b² = c²

• b² + c² = a²

Foci?

• (-3 , 4) and (-3 , 0)

• (3 , -4) and (3 , 0)

• (-3 , -4) and (-3 , 0)

• (-3 , 4) and (3 , 0)

Write the standard for for the equation of the ellipse with the given characteristics.

• 
• 
• 
• 

Change the equation x² + 6x + y² − 4y = 12 to its general equation.

• (x + 3)² + (y - 2)² = 25 Center: -3, 2 radius 5

• (x - 3)² + (y + 2)² = 25 Center: 3, -2 radius 25

• (x + 9)² + (y - 4)² = 25 Center: -9, 4 radius 5

• (x + 3)² + (y - 2)² = 5 Center: -3, 2 radius 25

Center (0, 6), tangent to the line y = 10.

• x² + (y - 6)² = 16

• x² + (y - 6)² = 36

• x² + (y - 6)² = 4

• x² + (y - 6)² = 9

Convert the rectangular equation to a polar equation. 
y=7

• r=7

• r=7sinΘ

• r=7cscΘ

• r=49

Convert the polar equation to rectangular equation. 
Θ=3π/4

• y=-x

• y=(-√2)x

• y=x

• y=-2x

What is the equation?

• Θ = π/4

• Θ = -5π/4

• Θ = -3π/4

• Θ = 5π/4

What is the center of this ellipse?

• (0, 3)

• (1, 3)

• (9, 3)

• (0, -3)