Chapter 10 Test Flashcards
Midpoint of a line segment
[(x+x)/2] , [(y+y)/2] ,
Standard form of the equation of a circle
(x-h)+(y-k)=r*
General form of the equation of a circle
x+y+Dx+Ey+F=0
Standard form of the equation of a horizontal ellipse
[ (x-h)* / a* ] + [ (y-k)* / b* ] = 1
Where c= a- b*
Standard form of the equation of a vertical ellipse
[ (y-k)/a ]+[ (x-h)/b ] =1
Where c= a-b*
Foci of a horizontal ellipse
(h+-c,k)
Major axis vertices of a horizontal ellipse
(h+-a,k)
Minor axis vertices of a horizontal ellipse
(h,k+-b)
Foci of a vertical ellipse
(h,k+-c)
Major axis vertices of a vertical ellipse
(h,k+-a)
Minor axis vertices of a vertical ellipse
(h+-b,k)
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
In the general form of the equation of an ellipse the …
Coefficients of X and Y must have the same sign
The standard form of the equation of a horizontal hyperbola
[ (x-h)* / a* ] - [ (y-k)* / b* ] = 1
Where b= c-a*
Standard form of the equation of a vertical hyperbola
[ (y-k)* / a* ] - [ (x-h)* / b* ] = 1
Where b= c-a*
