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

  • A

    $2t(a + b)$

  • B

    $2t\sqrt {({a^2} - {b^2})} $

  • C

    $t\,\sqrt {{a^2} + {b^2}} $

  • D

    $2t\sqrt {({a^2} + {b^2})} $

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