An ellipse x2-a2-y2-b2-1 passes through the point -3- 1 and its eccentricity is -2-5- The equation of the ellipse is-

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Eccentricity of Ellipse

An ellipse ...

Question

An ellipse $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1$ passes through the point $(- 3, 1)$ and its eccentricity is $\sqrt{\frac{2}{5}}$ . The equation of the ellipse is?

3 x^{2} + 5 y^{2} = 32

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3 x^{2} + 5 y^{2} = 48

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5 x^{2} + 3 y^{2} = 32

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5 x^{2} + 3 y^{2} = 48

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Solution

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\frac{1}{2}

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