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The coordinates of a moving particle at ...

The coordinates of a moving particle at any time't' are given by `x = alphat^(3)` and `y = betat^(3)`. The speed of the particle at time 't' is given by

A

`3tsqrt(alpha^(2)+beta^(2))`

B

`t^(2)sqrt(alpha^(2)+beta^(2))`

C

`sqrt(alpha^(2)+beta^(2))`

D

`3t^(2)sqrt(alpha^(2)+beta^(2))`

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The correct Answer is:
D
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