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

**Note **

- the collision is an elastic collision.
- the answer is of the form \(\theta\) = \(cot^{-1}x\) Find \(x\)

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