WBJEE · Maths · Application of Derivatives
A particle is in motion along a curve \(12 y=x^{3}\). The rate of change of its ordinate exceeds that of abscissa in
- A \(-2 < x < 2\)
- B \(x=\pm 2\)
- C \(x < -2\)
- D \(x>2\)
Answer & Solution
Correct Answer
(D) \(x>2\)
Step-by-step Solution
Detailed explanation
Given, curve, \(12 y=x^{3}\) and \(\frac{d y}{d t}>\frac{d x}{d t}\) ....(i) Now, \(12 \frac{d y}{d t}=3 x^{2} \frac{d x}{d t}\)....(ii) From Eqs. (i) and (ii), we get \(\Rightarrow\)…
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