JEE Mains · Maths · STD 12 - 6. Application of derivatives
For the curve \(y\, = 3\, sin\,\theta\, cos\,\theta\), \(x\, = e^{\theta}\, sin\,\theta\), \(0 \leq \theta \leq \pi \) , the tangent is parallel to \(x-\) axis when \(\theta \) is
- A \(\frac{3\pi}{4}\)
- B \(\frac{\pi}{2}\)
- C \(\frac{\pi}{4}\)
- D \(\frac{\pi}{6}\)
Answer & Solution
Correct Answer
(C) \(\frac{\pi}{4}\)
Step-by-step Solution
Detailed explanation
Given, \(y = 3\sin \theta .\cos \theta \) \(\frac{{dy}}{{d\theta }} = 3\left[ {\sin \theta \left( { - \sin \theta } \right) + \cos \theta \left( {\cos \theta } \right)} \right]\)…
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