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If the normal at one end of the latus re...

If the normal at one end of the latus rectum of the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` passes through one end of the monor axis, then prove that eccentricity is constant.

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To prove that the eccentricity of the ellipse is constant under the given conditions, we will follow these steps: ### Step 1: Understand the ellipse and its properties The equation of the ellipse is given by: \[ \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 \] where \( a \) is the semi-major axis and \( b \) is the semi-minor axis. The eccentricity \( e \) of the ellipse is defined as: ...
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