A) (0, 0)
B) (0, a)
C) (a, 0)
D) (a, a)
Correct Answer: A
Solution :
Given, curve is \[x=a{{t}^{2}},\text{ }y=2at\] \[\Rightarrow \] \[\frac{dx}{dt}=2at,\frac{dy}{dt}=2a\] \[\therefore \] \[\frac{dx}{dy}=\frac{2at}{2a}=t\] \[\because \]Tangent line is perpendicular to\[x-\]axis. \[\therefore \] \[\frac{dx}{dy}=0\] \[\Rightarrow \] \[t=0\] Hence, point of contact is (0, 0).You need to login to perform this action.
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