For each pair of points, find the distance between points, and the equation of the perpendicular bisector of the line segment connecting the points.
(5,4) & (6.5,2)
Distance- 2.5
Equation- y=(3/4)x-(21/16)
100
Name the vertex, focus, and directrix of a parabola with the
given equation. Sketch the parabola with its focus and directrix.
X=4(y-1)^2+2
Write an equation of the ellipse with the given characteristics.
Center- (0,0)
Vertex- (-4,0)
Y intercept- -3
(x^2)/16 + (y^2)/9=1
100
State the MINOR AXIS of the equation
(x+1)^(2/25) - (y-3)^(2/9)=1
The minor axis is 6
100
Identify the conic:
7x^2-14x+y+7=0
Degenerate parabola
200
For each pair of points, find the distance between points, and the equation of the perpendicular bisector of the line segment connecting the points.
(-11,-5) & (3, -4)
Distance- The square root of 106
Equation- y=(-5/9)x+(2/9)
200
Find an equation of the parabola with the given
characteristics, then graph.
Vertex (2,6) ; focus (-4,6)
x-2=-1/24 (y-6)2
200
Write an equation of the ellipse with the given characteristics.
Center- (6,2)
Vertex- (6,7)
Focus- (6,-1)
(x-6)^2/49 + (y-2)^2/40 = 1
200
Solve for y.
(x+1)^2/25 - (y-3)^2/9=1
y=3 + square root of 9(x+1)^2/25 -9
y=3 - square root of 9(x+1)^2/25 -9
200
Identify the conic:
4y^2+4x+12y-16=0
A degenerate circle
300
Find the value of K so the given points are N units apart.
(6,K) (9, 11)
N=5
K=7 or
K=15
300
Identify the center and radius of
(x-4)^2+(y-2)^2=25
Center- (4,2)
Radius- 5
300
Write an equation of the ellipse with the given characteristics.
Center- (-3,-1)
Vertex- (-7,-1)
b=3
horizontal
(x+3)^2/16 + (y+1)^2/9 =1
300
State the center of
(x-2)^2/144 - (y+7)^2/36=1
(2,-7)
300
Identify the conic:
-x^2+4y^2-2x-8y+3=0
A degenerate hyperbola
400
Find the value of K so the given points are N units apart.
(3,K) (-7, -10)
N=26
K=14 or
K=-34
400
Identify the center and radius of
x^2+(y+3)^2=2
Center- (0,-3)
Radius- The square root of two
400
Identify the major characteristics of each ellipse with the given equation.
x^2/4 + y^2/49 =1