A point moves in $x-y$ plane as per $x=kt,$ $y = kt\left( {1 - \alpha t} \right)$ where $k\,\& \,\alpha \,$ are $+ve$ constants. The equation of trajectory is
A point moves in $x-y$ plane as per $x=kt,$ $y = kt\left( {1 - \alpha t} \right)$ where $k\,\& \,\alpha \,$ are $+ve$ constants. The equation of 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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