A point moves along the curve $12y = x^3$ such that rate of increase of ordinate is greater than that of abscissa. Then abscissa lies in
- A. $(-2, 2)$
- B. $(-\infty, -2) \cup (2, \infty)$
- C. $[-2, 2]$
- D. None of these
✅ Correct Answer: $(-\infty, -2) \cup (2, \infty)$
Explanation
Differentiating gives $\frac{dy}{dx} = \frac{x^2}{4}$. For $\frac{dy}{dt} > \frac{dx}{dt}$, we need $x^2/4 > 1 \Rightarrow |x| > 2$.
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