A point P on the ellipse is at a distance of 6 units from the focus. If the eccentricity of the ellipse is 0.6, then the distance of P from the corresponding directrix is ___

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Solution

The eccentricity of any conic is the ratio of its distances from the focus and directrix. Let d be the distance of the point P from the directrix. Since P lies on the ellipse,

$\frac{6}{d} = \frac{3}{5} \Rightarrow d = 10$

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A point P on the ellipse is at a distance of 6 units from the focus. If the eccentricity of the ellipse is 0.6, then the distance of P from the corresponding directrix is ___

The eccentricity of any conic is the ratio of its distances from the focus and directrix. Let d be the distance of the point P from the directrix. Since P lies on the ellipse, 6d=35⇒d=10

The eccentricity of any conic is the ratio of its distances from the focus and directrix. Let d be the distance of the point P from the directrix. Since P lies on the ellipse,

$\frac{6}{d} = \frac{3}{5} \Rightarrow d = 10$