Give foci and corresponding directrices of ellipses centered at the origin of the xy-plane. In each case, use the dimensions in Figure 11.47 to find the eccentricity of the ellipse. Then find the ellipse’s standard-form equation in Cartesian coordinates.

In Figure 11.47

Transcribed Image Text:

D₁ | Directrix 1 a |x= -1/1/20 (F₁(-c, 0) P(x, y) b Directrix 2 x = F₂(c, 0) 230 -bc-ae- D₂