Equation of the ellipse whose axes are the axes of coordinates

Question:

Equation of the ellipse whose axes are the axes of coordinates and which passes through the point $(-3,1)$ and has eccentricity $\sqrt{2 / 5}$ is :-

  1. $3 x^{2}+5 y^{2}-15=0$

  2. $5 x^{2}+3 y^{2}-32=0$

  3. $3 x^{2}+5 y^{2}-32=0$

  4. $5 x^{2}+3 y^{2}-48=0$

Correct Option: , 3

Solution:

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