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Write the equation of the ellipse using the given information: the ellipse has foci (0, 3), 

        and (0, −3) and vertices (0, 5), and (0, −5).

Guest Oct 15, 2017
 #1
avatar+89803 
+2

The major axis will lie on the y axis and the center is (0,0)

 

"a"  = 5     and  "c" = 3

 

And we need to find "b"  in this equation

 

y^2 / 25   +  x^2 / b^2   =   1

 

b  = sqrt (a^2 - c^2)  = sqrt ( 5^2 - 3^2)  = sqrt (16)  = 4

 

So......b^2   =  16

 

And the equation is

 

y^2 / 25 + x^2 / 16  = 1

 

Here's the graoh : https://www.desmos.com/calculator/kzjn2slwcp

 

 

cool cool cool

CPhill  Oct 15, 2017

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