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JEE MATHEMATICS MCQ: RATE MEASURE

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A point moves along the curve 12y=x312y = {x^3} in such a way that the rate of increase of its ordinate is more than the rate of increase of abscissa. The abscissa of the point lies in the interval
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Correct option: B
(−∞,  −2)∪(2,  ∞)\left( { - \infty ,\; - 2} \right) \cup \left( {2,\;\infty } \right)
Option B ((−∞,  −2)∪(2,  ∞)\left( { - \infty ,\; - 2} \right) \cup \left( {2,\;\infty } \right)) is correct because it represents the interval where the rate of increase of the ordinate is greater than the rate of increase of the abscissa.

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