If the distance from the focus is 12 units and the distance from the directrix is 12 units, then eccentricity = ?

  1. Infinity
  2. Zero
  3. Unity
  4. Less than one

Answer (Detailed Solution Below)

Option 3 : Unity
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Detailed Solution

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Explanation:

Eccentricity: Locus of a point in which the distances to the fixed point(focus) and the fixed line(directrix) are in the constant ratio. That ratio is known as eccentricity.

It is denoted by "e"

\( \rm e = \frac{{{\rm{Distance\;of\;the\;point\;from\;the\;focus}}}}{{{\rm{Distance\;of\;the\;point\;from\;the\;directric}}}}\)

Hence from the definition, e = \(12 \over 12\) = 1.

Hence the value of eccentricity is equal to unity.

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