Q.

 If the length of the tangent to the curve y=x3+3x2+4x1 at the  point x=0 is K, then the value of [K], where [] denote the greatest  integer function. 

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answer is 1.

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Detailed Solution

dydx=3x2+6x+4dydxx=0=4 Length of the tangent =y1+1dydx2=y11+1161×174=174=K[K]=1

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