MathematicsMedium175×since 2002Q2770Let S be the set of all values of x for which the tangent to the curve y = ƒ(x) = x³ – x² – 2x at (x, y) is parallel to the line segment joining the points (1, ƒ(1)) and (–1, ƒ(–1)), then S is equal to :A{13,−1}\left\{ { {1 \over 3}, - 1} \right\}{31,−1}B{−13,1}\left\{ { - {1 \over 3}, 1} \right\}{−31,1}C{−13,−1}\left\{ { - {1 \over 3}, - 1} \right\}{−31,−1}D{13,1}\left\{ { {1 \over 3}, 1} \right\}{31,1}Check answerSkip