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Pre-Cal > Conic Sections > Flashcards

Conic Sections Flashcards

(19 cards)

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1
Q

curves in the Cartesian plane defined by quadratic equations in x and y

A

Conic Sections

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2
Q

two-dimensional curves that are formed when a plane intercepts a double-napped cone

A

Conic Sections

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3
Q

can be graphed on a coordinate plane

A

Conic Sections

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4
Q

a pair of congruent, opposite cones connected by a common vertex

A

Double-napped cone

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5
Q

point of intersection

A

Vertex

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6
Q

are conic sections that result when the plane that cuts the double-napped cone passes through the vertex

A

Degenerate conics

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7
Q

General Equation of Conic Sections

A

Ax2 + Cy2 + Dx + Ey + F = 0

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8
Q

A and B are exactly the same

A

Circle

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9
Q

A and B are different but have the same sign

A

Ellipse

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10
Q

A and B have opposite signs

A

Hyperbola

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11
Q

A = 0 or B = 0 but not both at the same time

A

Parabola

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12
Q

6x2 + 6y2 + 12x - 24y + 12 = 0

A

Circle

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13
Q

2x2 + y2 - 4x - 2y - 1 = 0

A

Ellipse

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14
Q

4x2 - 3y2 - 8x + 24y - 80 = 0

A

Hyperbola

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15
Q

x2 + 8x - 4y + 36 = 0

A

Parabola

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16
Q

4x2 - 9y2 - 24x - 72y - 144 = 0

17
Q

10y2 - 9x2 - 80 = 0

18
Q

20x2 + 40y2 - 800 = 0

19
Q

x2 + 15y - 27 = 0

Pre-Cal (6 decks)

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