A particle moves in the plane according to the law $x=kt$, $y=kt(1- \alpha t)$ where $k$ and $\alpha$ are positive constants, t is time. The particle trajectory $ y(x) $ is - Clay6.com, a Free resource for your JEE, AIPMT and Board Exam preparation

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

a) circle b) parabola c) straight line d) hyperbola