A new township is to be constructed alon...

A new township is to be constructed along the curve `y=x^3-11x+5`. Two attraction i.e., Amusement park and shopping mall is to be made on the this curve. At a point on the curve amusement park is to be constructed and on another point shopping mall is to be constructed at which tangent has the equation y=x-11.

Find the point of x where curve along which township is parallel to X-axis ?

A

` +- sqrt(11/3)`

B

`+- 11/3`

C

`+-4`

D

`+-2`

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The correct Answer is:

A

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