Analytic Geometry And Trigonometry Flashcards

1
Q

General form of a line equation:

A

Ax + By + C = 0

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2
Q

Standard form of a line equation:

A

y = mx + b

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3
Q

Point-slope form of a line equation:

A

y-y1 = m (x - x1)

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4
Q

Slope equation of a line

A

m = (y2 - y1) / (x2 - x1)

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5
Q

Formula to get the Angle between two lines

A
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6
Q

Distance between two points

A

d = sqrt((y2-y1)^2+(x2-x1)^2)

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7
Q

How many and what kind of conic section are

A

4; Circle; Parabola; Hyperbola; Ellipse

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8
Q

What is the general form of a Conic Section equation

A
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9
Q

Discriminants of the General form of a Conic Section equation

A
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10
Q

Standard form of a parabola equation and discriminants of the formula

A
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11
Q

Standard form of an ellipse and discriminants of the formula

A
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12
Q

Standard form of an Hyperbola and discriminants of the formula

A
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13
Q

Standard form of a Circle and discriminants of the formula

A
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14
Q

Length of a point to its tangent to a circle

A
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15
Q

General and Standard form Quadric Surface (Sphere)

A
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16
Q

Distance Between Points with three axis

A
17
Q

Said in order of convenience the six trigonometric functions

A

sin; cos; tan; Inverse from this point cot; sec; csc