A) \[y=x\,\tan \,\theta +2\,\,\cot \,\theta \]
B) \[y=x\,\tan \,\theta -2\,\cot \theta \]
C) \[x=y\cot \,\theta +2\tan \theta \]
D) \[x=y\,\cot \theta -2\,\tan \theta \]
Correct Answer: C
Solution :
\[{{x}^{2}}=8y\] |
\[\Rightarrow \] \[\frac{dy}{dx}=\frac{x}{4}=\tan \theta \] |
\[\therefore \] \[{{x}_{1}}=4\tan \theta \] |
\[{{y}_{1}}=2\,\,{{\tan }^{2}}\theta \] |
Equation of tangent: |
\[y-2\,\,{{\tan }^{2}}\theta =\tan \,\theta (x-4tan\theta )\] |
\[x=y\cot \theta +2\,\tan \theta .\] |
You need to login to perform this action.
You will be redirected in
3 sec