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Question

What is Directrix in Conic Section?


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Solution

Directrix in Conic Section

  • The directrix of a conic section is a perpendicular line to the axis which defines a conic section together with the focus.
  • The distance of the locus of points from the focus is proportional to its horizontal distance from the directrix and ris the proportionality constant.
  • DistancefromlocusofapointtofocusDistancefromlocusofapointtodirectrix=r
  1. If r=1,the conic is a parabola.
  2. If r<1,the conic is an ellipse.
  3. If r>1,the conic is a hyperbola.

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