Ask a New Question

Question

find the foci of the ellipse


(x+5)^2/4+(y-1)^2/16=1
17 years ago

Answers

drwls
The major axis is the y = 1 line and the semimajor axis length is a = sqrt16 = 4. The minor axis is along the x = -5 line and the semiminor axis length is b = sqrt 4 = 2.

The center of the ellipse is at x = -5, y = 1. The foci are displaced from that point along the x=-5 line (the major axis) by amounts +/- c = sqrt (a^2 - b^2) = +/- sqrt 21

Therefore for the two foci are
x = -5, y = 1 + sqrt21, and
x = -5, y = 1 - sqrt21
17 years ago

Related Questions

Find the foci of the ellipse: (x^2/400)+(y^2/625)=1 the foci of an ellipse are (0,2) (0,-2) and the eccentricity is 1/2. determine the equation of the e... An ellipse has foci (0,+-3) and vertices (0,+-4). What is the eccentricity of the ellipse? Please h... Find the foci of the ellipse whose major axis has endpoints $(0,0)$ and $(13,0)$ and whose minor axi... the foci of the ellipse given by the equation 100x2 + 25y2 = 2500? Find the foci of the ellipse defined by the equation shown below. If necessary, round to the nearest... Find the foci of the ellipse defined by the equation shown below. If necessary, round to the nearest... Find the foci of the ellipse with the equation (16x^2) + (49y^2) = 784 algebraically. Do not round.... Find the foci of the ellipse with the equation (16x^2) + (49y^2) = 784 algebraically. Do not round.... Find the foci of the ellipse 9x^2-18x+25y^2-100y-116=0
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use