jee-main 2011 Q69

jee-main · India Conic sections Equation Determination from Geometric Conditions

Equation of the ellipse whose axes are the axes of coordinates and which passes through the point $(-3,1)$ and has eccentricity $\sqrt{\frac{2}{5}}$ is
(1) $5x^{2}+3y^{2}-48=0$
(2) $3x^{2}+5y^{2}-15=0$
(3) $5x^{2}+3y^{2}-32=0$
(4) $3x^{2}+5y^{2}-32=0$

Equation of the ellipse whose axes are the axes of coordinates and which passes through the point $(-3,1)$ and has eccentricity $\sqrt{\frac{2}{5}}$ is\\
(1) $5x^{2}+3y^{2}-48=0$\\
(2) $3x^{2}+5y^{2}-15=0$\\
(3) $5x^{2}+3y^{2}-32=0$\\
(4) $3x^{2}+5y^{2}-32=0$

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