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If the latus rectum of an ellipse is equ...

If the latus rectum of an ellipse is equal to the half of minor axis, then find its eccentricity.

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To solve the problem, we need to find the eccentricity of an ellipse given that the latus rectum is equal to half of the minor axis. Let's break it down step by step. ### Step 1: Understand the relationship between latus rectum and axes of the ellipse. The latus rectum (L) of an ellipse is given by the formula: \[ L = \frac{2b^2}{a} \] where \(b\) is the semi-minor axis and \(a\) is the semi-major axis. ...
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