The coordinates of a moving particle at any time $t$ are given by $x = a\, t^2$ and $y = b\, t^2$. The speed of the particle is

  • [AIIMS 2012]
  • A
    $2t\, (a + b)$
  • B
    $2t\,\sqrt {\left( {{a^2} + {b^2}} \right)} $
  • C
    $2t\,\sqrt {\left( {{a^2} - {b^2}} \right)} $
  • D
    $\sqrt {\left( {{a^2} + {b^2}} \right)} $

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