SOLUTION: Write the equation of the ellipse with foci at (0,3) a co-vertex at (2,0) and center at (0,0)?

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Question 751197: Write the equation of the ellipse with foci at (0,3) a co-vertex at (2,0) and center at (0,0)?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The other focus is (0,-3) and the value of c=3, the focal distance. As described with the center point and the foci, the major axis vertical. As given, then that "co-vertex" must be on the semi-minor axis and represents here, the value for b. b=2.

You have b and c. Now you can determine a. If you understand these values as related to the graph, you will find a triangle, right triangle with legs 3 and 2, and hypotenuse a. a%5E2=3%5E2%2B2%5E2, so what is a?

Your standard form equation is based on %281%2Fa%5E2%29y%5E2%2B%281%2Fb%5E2%29x%5E2=1