Example 19,9. Show that the equation of the ellipse having foci at z, z, and major axis 2a, is |2 -z,1 12 - z| = 2a. Also find its eccentricity.

Identify the general equation, as well as the coordinates of the foci of the following ellipse that has the following conditions: Vertices (-1, 3) and (5, 3), with axis length less than 4:   A . 4x^2+9y^2 - 16x - 54y + 61=0, Focsi F1 = (2+√5, 3), F2=(2 - √5, 3) B. 16x^2+36y^2 - 64x - 216y - 188 = 0, Focis F1=(2+√20, 3), F2=(2 - √20, 3) C. 9x^2+4y^2 - 54x -16y + 61=0, Focis F1 = (2, 3+√5), F2=(2, 3 - √5 ) D. 36x^2+16y^2 - 216x - 64y +188 = 0, Focis F1=(2, 3+√20), F2=(2, 3 - √20)

2 2 Write the equation of the ellipse 25 · x² + 9 · y? = 225 in standard form + 1 a

+* SOLVE STEP BY STEP IN DIGITAL FORMAT PLEASE Determine the equation of the pinto contact chord P(3,1) for the ellipse x² + 2y² - 2 = 0.