WBJEE · Maths · Application of Derivatives
Let \(y=e^{x^{2}}\) and \(y=e^{x^{2}} \sin x\) be two given curves. Then, angle between the tangents to the curves at any point of their intersection
- A 0
- B \(\pi\)
- C \(\frac{\pi}{2}\)
- D \(\frac{\pi}{4}\)
Answer & Solution
Correct Answer
(A) 0
Step-by-step Solution
Detailed explanation
For intersecting points, \(e^{x^{2}}=e^{x^{2}} \sin x\) \(\Rightarrow \quad e^{x^{2}}(\sin x-1)=0\) \(\Rightarrow \quad e^{x^{2}}=0 \quad\) or \(\sin x=1\) But \(\quad e^{x^{2}} \neq 0 \Rightarrow \sin x=1\) \(\Rightarrow\) \[ x=\frac{\pi}{2} \] Now. \[ y=e^{x^{2}} \]…
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