Question 548049: write an equation of the ellipse with the given characteristics and center at (0,0)
vertex:(0,6)
co-vertex:(-3,0)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! write an equation of the ellipse with the given characteristics and center at (0,0)
vertex:(0,6)
co-vertex:(-3,0)
**
Standard form of equation for ellipse with vertical major axis:
(x-h)^2/b^2+(y-k)^2/a^2=1, a>b, (h,k) being the (x,y) coordinates of the center.
For given ellipse:
center:(0,0)
length of vertical major axis=12=2a
a=6
a^2=36
length of minor axis=6=2b
b=3
b^2=9
Equation of given ellipse:
(x-h)^2/b^2+(y-k)^2/a^2=1
(x-0)^2/9+(y-0)^2/36=1
x^2/9+y^2/36=1 (ans)
|
|
|
