If the parabolas y^ 2 =4 b(x-c) and y^ 2 = tax have a common normal, then which one of…

Mathematics · JEE Main · NTA ExamsCo-ordinate Geometry

If the parabolas \(y^{2}=4 b(x-c)\) and \(y^{2}=\operatorname{tax}\) have a common normal, then which one of the following is a valid choice for the ordered triad (a, b, c)?
  1. \((1,1,3)\)
  2. \((1,1,0)\)
  3. \(\left(\frac{1}{2}, 2,0\right)\)
  4. \(\left(\frac{1}{2}, 2,3\right)\)

Answer

(C) ( 1 2 , 2,0 )

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