A) \[{{\tan }^{-1}}4\]
B) \[{{\cot }^{-1}}4\]
C) \[ta{{n}^{-1}}2\]
D) \[{{\cot }^{-1}}2\]
Correct Answer: B
Solution :
\[y=2{{e}^{2x}}\] | ?(i) |
\[\therefore \] \[\frac{dy}{dx}=2\cdot {{e}^{2x}}\cdot 2=4\cdot {{e}^{2x}}\] |
\[\therefore \] \[\left( \frac{dy}{dx} \right)\] at \[P=4\] |
\[\therefore \] \[\tan \theta =4\] \[\Rightarrow \] \[\theta ={{\tan }^{-1}}4\] |
\[\therefore \] required angle\[=\text{90}-\theta \] |
\[\Rightarrow \] \[\frac{\pi }{2}-{{\tan }^{-1}}4\] = \[{{\cot }^{-1}}4\] |
You need to login to perform this action.
You will be redirected in
3 sec