The equation of the curve passing through origin if the middle point of the segment of…

Mathematics · JEE Advanced · NTA ExamsDifferential Equations

The equation of the curve passing through origin if the middle point of the segment of its normal from any point of the curve to the x–axis lies on the parabola 2y2 = x, is
  1. y2 = 2x + 1–e2x
  2. y2 = 2x – 1 + ex
  3. y2 = 2x + 1 + ex
  4. None

Answer

(A) y 2 = 2x + 1–e 2x

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