A) \[(a,\,a)\]
B) \[(0,\,a)\]
C) \[(0,0)\]
D) \[(0,0)\]
Correct Answer: C
Solution :
We have, \[x=a\,{{t}^{2}}\] \[\therefore \] \[\frac{dx}{dt}=2at\] and \[y=2at\Rightarrow \frac{dy}{dt}=2a\] \[\therefore \] tangent \[\left( \frac{dy}{dx} \right)=\frac{2a}{2at}=1/t\] \[\Rightarrow \,\frac{1}{t}=\infty \] \[\Rightarrow t=0\Rightarrow \] points of contact is (0, 0).You need to login to perform this action.
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