Let P be any point on the ellipse 7 x 2 + 16 y 2 = 112 , S be a focus, L be the corresponding directrix and P M be the perpendicular distance from P to directrix L . Then S P P M =

Question

Let P be any point on the ellipse 7 x 2 + 16 y 2 = 112 , S be a focus, L be the corresponding directrix and P M be the perpendicular distance from P to directrix L . Then S P P M =, 1 4, 1 2, 3 4, 1 2

MARKS App · Accepted Answer

We have, the given equation of an ellipse is 7 x 2 + 16 y 2 = 112 . ⇒ x 2 16 + y 2 7 = 1 The eccentricity of the ellipse is, e = 1 - 7 16 = 9 16 = 3 4 ∴ S P P M = e ⇒ S P P M = 3 4

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