Question 689067: Can someone please help me find the vertices and foci of the ellipse 3x^2+7y^2=21. I have vertices (0,sqrt -3) and (0, sqrt 3) and foci (0,2) and (0,-2) but not sure if it's right.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Can someone please help me find the vertices and foci of the ellipse
3x^2+7y^2=21
x^2/7+y^2/3=1
This is an equation of an ellipse with horizontal major axis.
Its standard form of equation:  , a>b, (h,k)=(x,y) coordinates of center.
center: 0,0)
a^2=7
a=√7
vertices: (0±a,0)=(0±√7,0)=(-√7,0) and (√7,0)
b^2=3
c^2=a^2-b^2=7-3=4
c=2
foci: (0±c,0)=(0±2,0)=(-2,0) and (2,0)
|
|
|
