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JEE MATHEMATICS MCQ: ELLIPSE

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Application +4 | -1
The foci of an ellipse are (0,±6)\left( {0, \pm 6} \right) and the equations of the directrices are y=±9.y = \pm 9. The equation of the ellipse is
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Correct option: D
9x2+5y2=1809{x^2} + 5{y^2} = 180
Option D (9x2+5y2=1809{x^2} + 5{y^2} = 180) is correct because it is derived from the given foci and directrices by calculating the eccentricity and using the standard equation of an ellipse.

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