Quote:

Find an equation of an ellipse satisfying the given conditions.

Foci: (-1,6) and (-1,0); Length of major axis: 10

Need more of a check on my answer.

The center is obviously the midpoint between the 2 Foci, so it's (-1,3) and it's vertical.

So it's equation is: .$\displaystyle \frac{(x+1)^2}{b^2} + \frac{(y-3)^2}{a^2} \;=\; 1$

$\displaystyle a$ is half the length of the major axis (10) so: .$\displaystyle a = 5 \quad\Rightarrow\quad a^2 = 25$ . all correct!

C is x in the foci, so it's 1 . . . . no