A) \[(3,\,\,9)\]
B) \[(2,\,\,-1)\]
C) \[(2,\,1)\]
D) \[(1,\,2)\]
Correct Answer: D
Solution :
Given curve is \[y=2{{x}^{2}}-x+1\] ?..(i) On differentiating w.r.t. x, we get \[\frac{dy}{dx}=4x-1\] Since, tangent to the curve is parallel to the given line y = 3x + 9. Then, slopes will be equal. \[\therefore \] \[4x-1=3\] \[\Rightarrow \] \[y=2\] Hence, required point is \[(1,2)\].You need to login to perform this action.
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