Projectile on a inclined plane

A particle is projected from the bottom of a inclined plane at an angle θ\theta with the surface of incline. The incline has an inclination of 1 i.e. angle of incline is 45 degrees. For what value of θ\theta will the particle retrace its path after collision with the plane.

*Note *

  • the collision is an elastic collision.
  • the answer is of the form θ\theta = cot1xcot^{-1}x Find xx
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