If the line 2 x+3 y=1 touches the parabola ^ 2 = 4 a at the point P , then find the focal…

Mathematics · JEE Main · NTA ExamsCo-ordinate Geometry

If the line \(2 x+3 y=1\) touches the parabola \(\scriptstyle\nabla^{2}\;=\;4\mathbf{a}\times\) at the point P, then find the focal distance of the point P.
  1. \(\frac{18}{13}\)
  2. \(\frac{6}{13}\)
  3. \(\frac{13}{18}\)
  4. None of these

Answer

(A) 18 13

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