What is the equation of an ellipse with foci (4, 0) and major axis of length 12?
- ?Lv 58 years agoFavorite Answer
x^2/144 + y^2/162 =1
- beazleyLv 44 years ago
a million) right here y coordinates of foci stay comparable; so its axis is parallel to x-axis. 2) Its center is the mid factor of foci = (-2, 4) 3) for this reason its equation is of the type (x - h)²/a² + (y - ok)²/b² = a million 4) right here (h, ok ) is the middle = (-2, 4). 5) considerable axis = 12; ==> a = 6; concentration is (ae+h, ok) = (6e - 2, 4) = (a million, 4); e = a million/2 6) b² = a²(a million - e²); ==> b² = 36(a million - a million/4) = 27 7) for this reason, its equation is: (x + 2)²/36 + (y - 4)²/27 = a million This on increasing and re arranging, turns into as: "3x² + 4y² + 12x - 32y - 32 = 0" This answer besides the previous contributor are comparable, yet does not locate any of the techniques given. Kindly be sure your selections.