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NTA Abhyas JEE Main2020MathematicsEllipsePractice

Variable ellipses are drawn with x = - 4 as directrix and the origin as the corresponding focus. The eccentricity of the locus of the extremities of the minor axes of these ellipses is

Options

  1. A1
  2. B2
  3. C2
  4. D1 2

Correct answer

A. 1

Step-by-step solution

Now k = b and h = a e Also a e - a e = 4 ⇒ a 1 - e 2 = 4 e ⇒ a 2 1 - e 2 = 4 a e ⇒ b 2 = 4 h ⇒ k 2 = 4 h ⇒ y 2 = 4 x ⇒ eccentricity = 1

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