If the normal at an end of a latus-rectum of an ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2... VIDEO
If the normal at an end of a latus-rectum of an ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \) passes through one extremity of the minor axis, show that the eccentricity of the ellipse is given by \( e^{4}+e^{2}-1=0 \)
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