# Pre-Calculus

posted by .

Find the equation of the ellipse whose semi-major axis has length 6 and whose foci are at (3,-2+/-sqrt11).

I have the focal constant = 2a which means that a=3 but don't know how to proceed.

Thanks.

• Pre-Calculus -

Well you know the center is halfway between the foci, at (3,-2)
I agree that a = 3
The form is:
(y+2)^2/a^2 + (x-3)^2/b^2 = 1
we need b
the distance from center to focus is sqrt(a^2-b^2)
so
11 = 3^2+b^2
b^2 = 2
b = sqrt 2
so
(y+2)^2/9 + (x-3)^2/2 = 1

## Similar Questions

1. ### math

. Find the volume of the sphere with a radius of 9. Use ð = 3.14 and round your answer to the nearest tenth. 4. Find the volume of an ellipsoid with a semi-major axis of length 10 and the first semi-minor axis has length of 6 while …
2. ### math help

1.Find the volume of a cube whose sides each measure 3.9. Round answer to the nearest tenth 2.Find the volume of an ellipsoid with a semi-major axis of length 9 and the first semi-minor axis has length of 5 while the second semi-minor …
3. ### math

Find an equation for the ellipse that satisfies the given conditions. Length of major axis 6, length of minor axis 4, foci on y-axis
4. ### Pre Calculus

find an equation in standard form for the ellipse if the major axis endpoints are (-5,2) and (3,2); the minor axis length is 6.
5. ### math

find equation of the ellipse whose center is at the origin and foci f(2,2) f(-2,-2) and length of semi-major axis is square root of 8?
6. ### math

Find the foci of the ellipse whose major axis has endpoints \$(0,0)\$ and \$(13,0)\$ and whose minor axis has length 12.
7. ### math

An ellipse and a hyperbola have the same foci, \$A\$ and \$B\$, and intersect at four points. The ellipse has major axis 50, and minor axis 40. The hyperbola has conjugate axis of length 20. Let \$P\$ be a point on both the hyperbola and …
8. ### Algebra

Find an equation of an ellipse satisfying the given conditions: ​Foci: ​(−2​,0) and (2​,​0) Length of major​ axis: 8 Thank you
9. ### math

The locus of a point whose distance from point (0,5) is always 3/4 of its distance from the line Y=8 is an elipse. Find the equation,centre, length of the major axis, length of the minor axis and the foci of the ellipse.
10. ### algebra

Please help with this problem: An ellipse and a hyperbola have the same foci, \$A\$ and \$B\$, and intersect at four points. The ellipse has major axis 50, and minor axis 40. The hyperbola has conjugate axis of length 20. Let \$P\$ be a …

More Similar Questions