A) \[(2,2)\]
B) \[(3,3)\]
C) \[(4,4)\]
D) \[(0,0)\]
Correct Answer: D
Solution :
Given curve is \[y={{x}^{3}}\] On differentiating w.r.t.x, we get \[\frac{dy}{dx}=3{{x}^{2}}\] Since, the tangent is parallel to x-axis \[\therefore \] \[\frac{dy}{dx}=0\] \[\Rightarrow \] \[3{{x}^{2}}=0\] \[\Rightarrow \] \[x=0,\,y=0\]You need to login to perform this action.
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