Question 673221
what is an equation of an elipse with major axis endpoints (2,8) and (2,-4) and minor axis of length 10
**
This is an ellipse with vertical major axis.
Its standard form of equation: {{{(x-h)^2/b^2+(y-k)^2/a^2=1}}}, a>b, (h,k)=(x,y) coordinates of center
For given ellipse:
center: (2,2)
length of vertical major axis=12 (-4 to 8)=2a
a=6
a^2=36
given length of minor axis=10=2b
b=5
b^2=25
Equation of given ellipse:
{{{(x-2)^2/25+(y-2)^2/36=1}}}