Write the equation of the ellipse that satisfies the given conditions:

Question

a. Center (0 , 0), one vertex (0 , - 7), one end minor axis
(5 , 0).
b. Foci (±3 , 0), vertices (±5 , 0).
c. Foci (±4 , 2), major axis 10.
d. Major axis parallel to x-axis, center (- 3 , 1), one end of
the vertices at (- 5 , 1) and the length of latus rectum
is 1.
e. Ends of major axis at (- 9 , 4) and (3 , 4) and passing at
(- 3 , 8).

Answer 1

a=7, b=5

x^2/25 +y^2/49 = 1

c=3,a=5 b=4

x^2/9+y^2/16 =1

a=10, b=4

x^2/16+(y-2)^2/100=1