pre cal Flashcards

1
Q

path of a point which moves so that its distance from a fixed point is in a constant ratio to its distance from a fixed line.

A

Conic/Conic Section

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2
Q

The fixed point

A

focus

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3
Q

fixed line

A

directrix

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4
Q

constant ratio

A

eccentricity

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5
Q

when the tilted plane intersects one cone to form a bounded curve

A

ellipse

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6
Q

eccentricity is less than 1 or 0<e<1

A

ellipse

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7
Q

the plane intersects one cone to form an unbounded curve

A

Parabola

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8
Q

eccentricity is = 1

A

Parabola

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9
Q

when the plane intersects two cones to form two unbounded curves

A

hyperbola

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10
Q

eccentricity > 1

A

hyperbola

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11
Q

In parabola what is the line that does not contain the focus

A

directrix

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12
Q

the fixed point in the parabola

A

focus

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13
Q

a conic where the collection of points is equidistant from the fixed point and the fixed line

A

parabola

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14
Q

this line divides the parabola into two parts which are mirror images of each other

A

axis of symmetry

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15
Q

plural of focus

A

foci

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16
Q

points on the ellipse that is collinear with the center and the foci

A

vertices

17
Q

the segment from one vertex to another, with the length of 2a

A

major axis

18
Q

the segment through the ellipse perpendicular to the major axis

A

minor axis

19
Q

Set of all points P who’s difference in the distance from the both foci forms a ___

A

Hyperbola

20
Q

Set of all points P who’s sum of its distances from the the foci is constant forms a ____

A

Ellipse

21
Q

In hyperbola the segment from one vertex to another is called the:

A

transverse axis

22
Q

two lines passing through the center of the hyperbola that serves as a guide to graph it

A

asymptotes

23
Q

a rectangle with sides 2a and 2b with the diagonals passing through the center of the hyperbola

A

auxiliary rectangle

24
Q

the segment perpendicular to the transverse axis through the center with measure of 2b

A

conjugate axis

25
Q

is a function whose domain is the set of positive integers

A

sequence