What is the center and the radius of the circle of the circle
(x - 2)^2 + (y - 3)^2 = 121?
C = (2, 3); r = 11
100
What are the vertices and co-vertices of the ellipse
x^2/16 + y^2/49 = 1
Vertices (0, ±7)
Co-vertices (±4, 0)
100
What are the vertices of the hyperbola?
9( x^2) - 4(y^2) = 36
(±4, 0)
100
Find the vertex of the parabola and tell how it opens.
(y - 4) = (x + 3)^2
(-3, 4) opens up
100
4x^2 + 3y^2 + 5x + 7y - 8 = 0
represents which type of conic?
Ellipse
200
What is the equation of the circle with center (4, 5) that passes through the point (6, 8)?
(x - 4)^2 + (y - 5)^2 = 13
200
What are the foci of the ellipse?
25x^2 + 9y^2 = 175
(0, 4) & (0, -4)
200
What are the equations of the asymptotes of the hyperbola?
y^2/16 - x^2/4 = 1
y = ±2x
200
What is the focus of the following parabola?
y^2 = -20x^2
(-5, 0)
200
For ellipses and hyperbolas, the foci always lie on the same line with the ____________.
vertices
300
What is the equation of the circle with center (-3, -5) that passes through the point (2, -4)?
(x + 3)^2 + (y + 5)^2 = 26
300
What is the length of the major axis in the ellipse
(x + 3)^2/16 + (x - 5)^2/49 = 784
14
300
Which terms accurately complete the definition of a hyperbola?
A hyperbola is the set of all points in a plane the _________ of whose distances from two points called the _________ is ________.
difference, foci, constant
300
What is the focus and directrix of the following parabola?
y^2 = -8x
focus (-2, 0)
directrix x = 2
300
Which conic does not have a center?
Parabola
400
What is the slope of the line tangent to the circle
x^2 + y^2 = 65 that passes through the point (4, -7)?
4/7
400
What is the center of the ellipse?
4x^2 + 9y^2 + 16x - 54y + 61 = 0
(-2, 3)
400
What is the equation of the hyperbola in standard form with center (3, 5), vertex (8, 5), and focus(9, 5)?
(x-3)^2/25 - (y-5)^/11 = 1
400
What is the equation of the parabola with vertex (4, 6)
and focus (7, 6)?
(y - 6)^2 = 12(x - 7)
400
What is the equation of the conic graphed?
(Slide to another screen to view the conic)
(x-1)^2/4 - (y-2)^2/32 = 1
500
What is the radius of the circle?
4x^2 + 4y^2 - 8x + 16y - 3 = 0
square root of 8
or
2 times the square root of 2
500
What is the equation of the ellipse in standard form with center (5, -4), vertex (5, 1), and focus (5, -1)?
(x-5)^2/16 + (y+4)^2/25 = 1
500
What is the center of the following hyperbola?
3y^2 - x^2 - 24y - 12x + 3 = 0
(-6, 4)
500
What is the equation of the parabola with focus (3, -4) and directrix y = 2?
(x - 3)^2 = -12(y + 1)
500
What is the equation of the conic graphed?
(Slide to another screen to view the conic)