Let P be a point on an ellipse at a distance of 8 units from a focus- If the eccentricity is 4 5- then the distance of the point P from the directrix is

The correct option is E 10 Given PF=8 units, e=45 and PM= ?By definition of ellipse PF PM =e⇒ 8 PM = 4 5 4M=40 ⇒ ...

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Standard XII

Physics

Radius of Gyration

Let P be a ...

Question

Let $P$ be a point on an ellipse at a distance of $8$ units from a focus. If the eccentricity is $\frac{4}{5}$ , then the distance of the point $P$ from the directrix is

\frac{5}{8}

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\frac{8}{3}

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5

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8

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10

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Solution

The correct option is E $10$
Given $P F = 8$ units, $e = \frac{4}{5}$ and $P M =$ ?
By definition of ellipse
$\frac{P F}{P M} = e \Rightarrow \frac{8}{P M} = \frac{4}{5}$
$4 M = 40$ $\Rightarrow$ $P M = 10$

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Let P be a point on an ellipse at a distance of 8 units from a focus. If the eccentricity is 45, then the distance of the point P from the directrix is

The correct option is E 10Given PF=8 units, e=45 and PM=?By definition of ellipsePFPM=e⇒8PM=454M=40 ⇒ PM=10

Let $P$ be a point on an ellipse at a distance of $8$ units from a focus. If the eccentricity is $\frac{4}{5}$ , then the distance of the point $P$ from the directrix is

The correct option is E $10$
Given $P F = 8$ units, $e = \frac{4}{5}$ and $P M =$ ?
By definition of ellipse
$\frac{P F}{P M} = e \Rightarrow \frac{8}{P M} = \frac{4}{5}$
$4 M = 40$ $\Rightarrow$ $P M = 10$