The ellipse $E_1:\frac{x^2}{9}+\frac{y^2}{4}=1$is inscribed in a rectangle $R$whose sides are parallel to the coordinate axes. Another ellipse $E_2$passing through the point (0, 4) circumscribes the rectangle $R\dot{}$The eccentricity of the ellipse $E_2$is$\frac{\sqrt{2}}{2}$ (b) $\frac{\sqrt{3}}{2}$ (c) $\frac{1}{2}$ (d) $\frac{3}{4}$

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