Pre-calculus

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1st sem

Last updated 3:51 PM on 8/7/23
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13 Terms

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Conic
The section obtained if a plane is made to cut a double right circular cone.
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Conic
If the plane does not pass through the vertex of the cone, then the conic sections formed are: a circle, an ellipse, a parabola and a hyperbola.
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Degenerate conic
If the plane passes through the vertex of the cone.
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Degenerate Conic
A degenerate conic may be a point, line, or two intersecting lines.
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Ax^2+Bxy+Cy^2+Dx+Ey+F=0
General Equation
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A=C
Circle
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A · C= 0
Parabola
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A · C > 0
Ellipse
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A · C < 0
Hyperbola
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Circle
The set of all points P(x,y) in a plane which moves at a constant distance from a fixed point called its center C(h,k) and the constant distance of any point from the center is called radius.
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fixed point called center
c(h,k)
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set of all points
p(x,y)
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radius
the constant distance of any point from the center