SOLUTION: Find the equation of the ellipse with vertices at (-2, 1) and (4, 1) with eccentricity 23.
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Question 1178761: Find the equation of the ellipse with vertices at (-2, 1) and (4, 1) with eccentricity 23.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Since the vertices are side by side , I know that this ellipse must be wider than it is tall. Then a^2 will go with the x part of the equation.
so, we need:
vertices at (,) and (, )
distacnce between is =>
where a is the length of semi-major axis and c is the distance from centre to the foci
=> and
the center is at (h, k) = half way between vertices, and
then
the center is at (, )
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