Question 482115: write the equation of the ellipse with center(0,0), vertex (0,6) and co-vertex(-3,0).
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! write the equation of the ellipse with center(0,0), vertex (0,6) and co-vertex(-3,0)
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Given data shows this is an ellipse with horizontal major axis of the standard form:
(x-h)^2/a^2+(y-k)^2/b^2=1, a>b, with (h,k) being the (x,y) coordinates of the center. In this case, center is at (0,0), so standard form of equation reduces to x^2/a^2+y^2/b^2=1.
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For given ellipse:
a=distance from center to vertex on the major axis=6
a^2=36
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b=distance from center to co-vertex on the minor axis=3
b^2=9
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Equation: x^2/36+y^2/9=1
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