Analytical Geometry Flashcards

1
Q

Distance
Two points

A
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2
Q

Distance
Point and line

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3
Q

Distance
Two parallel lines

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4
Q

Line equations
General
Point-slope
Slope-intercept
Two-point
Intercepr

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5
Q

Slope of line

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6
Q

Angle between two lines

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7
Q

Coordinates of a point that divides a line segment

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8
Q

Area of polygon using vertices

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9
Q

Conic section
General forms

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10
Q

Conic section
Eccentricity
Discriminant

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11
Q

Shortcut: Center for circle, ellipse, hyperbola

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12
Q

Circle standard equation

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13
Q

Circle
Find equation given ends of diameter

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14
Q

Point circle

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15
Q

Parabola standard equation

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16
Q

Parabola
Find axis of symmetry

17
Q

Parabola
Equation of directrix

18
Q

Parabola
Latus rectum

19
Q

Ellipse standard form

20
Q

Ellipse
adecea

21
Q

Ellipse
Latus rectum

22
Q

Apogee and perigee

23
Q

Hyperbola
Standard equation

24
Q

Hyperbola
adecea

25
Q

Hyperbola
Latus rectum

26
Q

Hyperbola
Equation of asymptote given std form

27
Q

Hyperbola
Given equation asymptote and point, find equation

28
Q

Hyperbola
Length of transverse axis

29
Q

Hyperbola
Length of conjugate axis

30
Q

Lines
Consistent
Inconsistent
Independent
Dependent

31
Q

Parallel

32
Q

Perpendicular

33
Q

Coinciding