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Directrix of Ellipse

Find the leng...

Question

Find the length of the latus-rectum of the ellipse $x^{2} + 4 y^{2} + 8 y - 2 x + 1 = 0$

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Solution

$\frac{{(x - 1)}^{2}}{4} + \frac{{(y + 1)}^{2}}{1} = 1$
$L R = \frac{2 b^{2}}{a} = 1$

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