The equation that represents an ellipse; 3x^2 + 7xy + 8y^2 + 3x – 9y + 5 = 0. so option C is correct.
What is the equation of ellipse if its major and minor axis and center are given?
Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, and let the ellipse is centered on (h,k) with major ellipse parallel to x-axis,
then the equation of that ellipse would be:
[tex]\dfrac{(x-h)^2}{a^2} + \dfrac{(y-k)^2}{b^2} =1[/tex]
Coordinates of its foci would be: (h \pm c, k) where c^2 = a^2 - b^2
If its major axis is parallel to y-axis.
The equation that represents an ellipse;
3x^2 + 7xy + 8y^2 + 3x – 9y + 5 = 0
Learn more about ellipse here:
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