MathematicsMedium175×since 2002Q2732If the function f:(−∞,−1]→(a,b]f:(-\infty,-1] \rightarrow(a, b]f:(−∞,−1]→(a,b] defined by f(x)=ex3−3x+1f(x)=e^{x^3-3 x+1}f(x)=ex3−3x+1 is one - one and onto, then the distance of the point P(2b+4,a+2)P(2 b+4, a+2)P(2b+4,a+2) from the line x+e−3y=4x+e^{-3} y=4x+e−3y=4 is :A21+e62 \sqrt{1+e^6}21+e6B1+e6\sqrt{1+e^6}1+e6C31+e63 \sqrt{1+e^6}31+e6D41+e64 \sqrt{1+e^6}41+e6Check answerSkip