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If the distance from the focus is 3 units and the distance from the directrix is 3 units, then what is the name of the conic section?

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If the distance from the focus is 3 units and the distance from the directrix is 3 units, then what is the name of the conic section?

(a) Ellipse

(b) Hyperbola

(c) Circle

(d) Parabola

This question was posed to me by my school principal while I was bunking the class.

Enquiry is from Basics of Conic Sections topic in portion Curves used in Engineering Practice of Engineering Drawing

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Right choice is (d) Parabola

Best explanation: Eccentricity is defined as the ratio of the distance from the focus to the distance from the directrix and it is denoted by e. Therefore, by definition, e = 3 ÷ 3 = 1. Hence the conic section is called as a parabola.

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