The locus of the mid point of the focal radii of a variable point moving on the parabola…

Mathematics · JEE Advanced · NTA ExamsCo-ordinate Geometry

The locus of the mid point of the focal radii of a variable point moving on the parabola, y2 = 4ax is a parabola whose
  1. Latus rectum is half the latus rectum of the original parabola
  2. Vertex is (a/2, 0)
  3. Directrix is y–axis
  4. Focus has the co–ordinates (a, 0)

Answer

(A) Latus rectum is half the latus rectum of the original parabola, (B) Vertex is (a/2, 0), (C) Directrix is y–axis, (D) Focus has the co–ordinates (a, 0)

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