The two parabola y 2 = 4ax and y 2 = 4c (x –b) cannot have a common normal, other than…

Mathematics · JEE Advanced · NTA ExamsCo-ordinate Geometry

The two parabola y2 = 4ax and y2 = 4c (x –b) cannot have a common normal, other than the axis unless, if
  1. \(\frac{a-b}{b}>2\)
  2. \(\frac{b}{a-c}>2\)
  3. \(\frac{b}{a+b}>2\)
  4. None of these

Answer

(B) b a-c >2

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