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If the normal at the end of a latus rectum of an ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \) asses through one extremity of the minor axis, then the eccentricity of the ellipse is given by the equation
(A) \( e^{2}+e-1=0 \)
(B) \( e^{2}+e+1=0 \)
(C) \( e^{4}+e^{2}+1=0 \)
(D) \( e^{4}+e^{2}-1=0 \)
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