Understanding Conic Sections (Grades 11-12)
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Understanding Conic Sections
1.
[math](x-4)^2/4 + (y + 6)^2/16 = 1[/math]
The above is an equation of a(n) .
The above is an equation of a(n) .
- ellipse
- hyperbola
- circle
- parabola
2.
The following equation represents which type of conic section?
[math] (x-5)^2/6 - (y-2)^2/4 = 1 [/math]
[math] (x-5)^2/6 - (y-2)^2/4 = 1 [/math]
- Circle
- Hyperbola
- Parabola
- Ellipse
3.
Identify what kind of conic section the equation represents. [math](x+4/5)^2 + y^2= 64/25[/math]
- Circle
- Ellipse
- Parabola
- 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.
- circle
- parabola
- ellipse
- None of the Above
5.
The center of the hyperbola [math](x-3)^2/16-(y+2)^2/9=1[/math] is [math](3,-2).[/math]
- True
- 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?
- [math]x^2/4+y^2/9=1[/math]
- [math]x^2/20.25+y^2/4=1[/math]
- [math]x^2/9+y^2/4=1[/math]
- [math]x^2/4+y^2/20.25=1[/math]
7.
What is the equation of the parabola with vertex at the origin which opens to the left and passes through (-4, 4)?
- [math]x^2=-4y[/math]
- [math]x^2=4y[/math]
- [math]y^2=-4x[/math]
- [math]y^2=4x[/math]
8.
The equation [math]x^2+y^2-6x-2y+6=0[/math] represents a(n) with a center at .
- circle; (-1,3)
- ellipse; (3,1)
- circle; (3,1)
- ellipse; (1,-3)
9.
What are the coordinates of the center of an ellipse defined by the equation [math]16x^2+25y^2+160x-200y+400=0[/math]?
- (-5, 4)
- (5, -4)
- (5, 4)
- (-5, -4)
10.
[math]4x^2+4y^2-8x+12y-32=7[/math] is what type of conic?
- Parabola
- Ellipse
- Circle
- Hyperbola
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