Solution: Find the equation of the family of orthogonal trajectories of the system of parabolas y^2 = 2x + C

Find the equation of the family of orthogonal trajectories of the system of parabolas y^2 = 2x + C.

Find the equation of the family of orthogonal trajectories of the system of parabolas y^2 = 2x + C.

Problem Statement: ECE Board November 1998

Find the equation of the family of orthogonal trajectories of the system of parabolas y2 = 2x + C.

  • A. y = Ce-x
  • B. y = Ce2x
  • C. y = Cex
  • D. y = Ce-2x

Problem Answer:

The equation of the family of orthogonal trajectories of the system of parabolas is y = Ce-x

Solution:

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