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A particle moves along the curve 12y=x^(...

A particle moves along the curve `12y=x^(3)`. . Which coordinate changes at faster rate at `x=10`?

A

x-coordinate

B

y-coordinate

C

Both x and y-coordinate

D

Data insufficient

Text Solution

Verified by Experts

The correct Answer is:
B
`12y=x^(3)rArr 12dy=3x^(2)dx rArr (dy)/(dt)=(x/2)^(2)((dx)/(dt))`
Therefore for `(x/2)^(2) gt 1` or `x gt 2`, y-coordinate changes as faster rate.
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