|
Question 556564:
Find an equation of an ellipse having the given intercepts:
x-intercept: ±√6
y-intercept: ±√12
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Find an equation of an ellipse having the given intercepts:
x-intercept: ±√6
y-intercept: ±√12
**
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
..
x-coordinate of center=midpoint of y-intercepts=0
y-coordinate of center=midpoint of x-intercepts=0
Center: (0,0)
length of vertical major axis=2*√12
a=√12
a^2=12
length of minor axis=2√6=2b
b=√6
b^2=6
Equation of given ellipse:
x^2/6+y^2/12=1
|
|
|
| |
