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An object is moving in the clockwise dir...

An object is moving in the clockwise direction around the unit circle `x^(2)+y^(2)=1`. As it passes through the point `(1/2,(sqrt(3))/2)`, its y-coordinate is decreasing at the rate of 3 unit per second. The rate at which the x-coordinate changes at this point is (in unit per second)

A

2

B

`3 sqrt3`

C

`sqrt3`

D

`2 sqrt3`

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The correct Answer is:
B
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