Question

Find the standard form of the equation of the ellipse satisfying the following conditions. Major axis vertical with length 14​; length of minor axisequals10​; ​center: ​(negative 7​,3​)

Answer 1

The answer to your question is below

Explanation:

Data

Mayor axis vertical = 14

Minor axis = 10

Center = (-7, 3)

Formula

Mayor axis = 2a

Minor axis = 2b

`((x-h)^(2) )/(b^(2) )  + ((y - k)^(2) )/(a^(2) )  = 1`

Process

2a = 14 2b = 10

a = 7 b = 5

h = -7 k = 3

Substitution

`((x+7)^(2) )/(5^(2) )  + ((y - 3)^(2) )/(7^(2) )  = 1`