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If the distance from the focus is 10 units and the distance from the directrix is 30 units, then what is the eccentricity?

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If the distance from the focus is 10 units and the distance from the directrix is 30 units, then what is the eccentricity?

(a) 0.3333

(b) 0.8333

(c) 1.6667

(d) 0.0333

I have been asked this question in final exam.

The question is from Basics of Conic Sections topic in chapter Curves used in Engineering Practice of Engineering Drawing

1 Answer

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Correct choice is (a) 0.3333

Explanation: Eccentricity is defined as the ratio of the distance from the focus to the distance from the directrix. Hence from the formula of eccentricity, e = 10 ÷ 30 = 0.3333. Since the value of eccentricity is less than one the conic is an ellipse.

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