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# Understanding Conic Sections (Grades 11-12)

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## Understanding Conic Sections

1.
$(x-4)^2/4 + (y + 6)^2/16 = 1$

The above is an equation of a(n)                .
1. ellipse
2. hyperbola
3. circle
4. parabola
2.
The following equation represents which type of conic section?

$(x-5)^2/6 - (y-2)^2/4 = 1$
1. Circle
2. Hyperbola
3. Parabola
4. Ellipse
3.
Identify what kind of conic section the equation represents. $(x+4/5)^2 + y^2= 64/25$
1. Circle
2. Ellipse
3. Parabola
4. None of the Above
4.
A(n)                  is defined by a set of points in a plane that are equidistant from a fixed line and a fixed point not on the fixed line.
1. circle
2. parabola
3. ellipse
4. None of the Above
5.
The center of the hyperbola $(x-3)^2/16-(y+2)^2/9=1$ is $(3,-2).$
1. True
2. False
6.
Which equation represents the ellipse with foci on the x-axis, major axis 9 units long, minor axis 4 units long, and center at the origin?
1. $x^2/4+y^2/9=1$
2. $x^2/20.25+y^2/4=1$
3. $x^2/9+y^2/4=1$
4. $x^2/4+y^2/20.25=1$
7.
What is the equation of the parabola with vertex at the origin which opens to the left and passes through (-4, 4)?
1. $x^2=-4y$
2. $x^2=4y$
3. $y^2=-4x$
4. $y^2=4x$
8.
The equation $x^2+y^2-6x-2y+6=0$ represents a(n)                 with a center at                .
1. circle; (-1,3)
2. ellipse; (3,1)
3. circle; (3,1)
4. ellipse; (1,-3)
9.
What are the coordinates of the center of an ellipse defined by the equation $16x^2+25y^2+160x-200y+400=0$?
1. (-5, 4)
2. (5, -4)
3. (5, 4)
4. (-5, -4)
10.
$4x^2+4y^2-8x+12y-32=7$ is what type of conic?
1. Parabola
2. Ellipse
3. Circle
4. Hyperbola
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