Answer :

It is given that equation of the curve y =

Now, slope of the tangent to the given curve at a point (x,y) is:



Now, if the slope of the tangent is 2, then we get,



2(x-3)2 = -1


(x-3)2 =


This is not possible since the L.H.S. is positive while the R.H.S. is negative.


Therefore, there is no tangent to the given curve having a slope 2.


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