Chapter 10 Test Flashcards Preview

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Flashcards in Chapter 10 Test Deck (22):
1

Midpoint of a line segment

[(x+x)/2] , [(y+y)/2] ,

2

Standard form of the equation of a circle

(x-h)*+(y-k)*=r*

3

General form of the equation of a circle

x*+y*+Dx+Ey+F=0

4

Standard form of the equation of a horizontal ellipse

[ (x-h)* / a* ] + [ (y-k)* / b* ] = 1

Where c*= a*- b*

5

Standard form of the equation of a vertical ellipse

[ (y-k)*/a* ]+[ (x-h)*/b* ] =1

Where c*= a*-b*

6

Foci of a horizontal ellipse

(h+-c,k)

7

Major axis vertices of a horizontal ellipse

(h+-a,k)

8

Minor axis vertices of a horizontal ellipse

(h,k+-b)

9

Foci of a vertical ellipse

(h,k+-c)

10

Major axis vertices of a vertical ellipse

(h,k+-a)

11

Minor axis vertices of a vertical ellipse

(h+-b,k)

12

In The general form of the equation of a circle the …

coefficients of X and Y must be exactly the same with the same signs

13

In the general form of the equation of an ellipse the …

Coefficients of X and Y must have the same sign

14

The standard form of the equation of a horizontal hyperbola

[ (x-h)* / a* ] - [ (y-k)* / b* ] = 1

Where b*= c*-a*

15

Standard form of the equation of a vertical hyperbola

[ (y-k)* / a* ] - [ (x-h)* / b* ] = 1

Where b*= c*-a*

16

Foci of A horizontal hyperbola

(h+-c, k)

17

Vertices of a horizontal hyperbola

(h+-a, k)

18

Foci of a vertical hyperbola

(h, k+-c)

19

Vertices of a vertical hyperbola

(h, k+-a)

20

In The general form of a hyperbola the …

Coefficients of X and Y have different signs

21

Equations of the asymptotes of a horizontal hyperbola

y-k= +-(b/a) (x-h)

22

Equation of the asymptotes of a vertical hyperbola

y-k= +-(a/b) (x-h)