Conic Sections and Circle Flashcards

(32 cards)

1
Q

What is the equation formed by a second degree order?

A

Quadratic Equation

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2
Q

Quadratic Equation

A

Ax²+Bxy+Cy²+Dx+Ey+F=0

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3
Q

What do you call a set of curves formed from diving or cutting a right circular cone of two nappes?

A

Conic Section

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4
Q

also called as nappes

A

cones

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5
Q

different lines

A

generator

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6
Q

single point

A

vertex

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7
Q

where two nappes intersects?

A

vertex

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8
Q

Is the circular-shaped opening of the cones?

A

Surface Base

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9
Q

Is the line passing through the vertex and perpendicular to its nappes?

A

Axis

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10
Q

What do you call when a plane cuts only one of the circular cone nappes and it is parallel or facing the surface base of the right circular cone or it cuts all the generators?

A

Ellipse or Circle

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11
Q

What is the special type of Ellipse?

A

Circle

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12
Q

What do you call when the cutting plane parallel only to one generator and it is perpendicular to the base of the cone?

A

Parabola

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13
Q

What do you call when a plane cuts both nappes and it is parallel to two generators?

A

Hyperbola

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14
Q

B²-4AC < 0, B = 0 or A = C

A

Circle

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15
Q

B²-4AC < 0, B ≠ 0 or A ≠ C

A

Ellipse

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16
Q

B²-4AC = 0

17
Q

B²-4AC > 0

18
Q

What do you call when a plane intersects the double right cone and passes through the apex?

A

Degenerate Conics

19
Q

What is the angle between generator and axis?

20
Q

What is the perimeter of the base?

21
Q

Point:

22
Q

Line:

23
Q

Two Intersecting Parallel Lines:

24
Q

What is the fixed point and the fixed distance?

A

Center Radius

25
What is the line that touches the circle at a single point?
Tangent
26
What is the straight line joinung two points on the circumference of the circle?
Chord
27
What do you call a chord that runs through the center point of the circle and it is the longest chord?
Diameter
28
What is the perimeter of a circle?
Circumference
29
What define as the part or segment of the circumference of a circle?
Arc
30
What is said to be a part of a circle made of the arc along eith its two radii?
Sector
31
What is the region bounded by a chord of the circle and its associated arc?
Segment
32
What is the locus points that are having fixed distance from a fixed point?
Circle