$A$ point moves in the $x-y$ plane according to $x = kt$ and $y = kt(1 - \alpha t)$,where $k$ and $\alpha$ are positive constants. The equation of the trajectory is:

  • A
    $y = x - \frac{\alpha x^2}{k}$
  • B
    $y = x + \frac{\alpha x^2}{k}$
  • C
    $x = y - \frac{\alpha y^2}{k}$
  • D
    $x = y + \frac{\alpha y^2}{k}$

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