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JEE Math Practice Question

Let 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 :

  1. A.$$\left\{ { {1 \over 3}, - 1} \right\}$$
  2. B.$$\left\{ { - {1 \over 3}, 1} \right\}$$
  3. C.$$\left\{ { - {1 \over 3}, - 1} \right\}$$
  4. D.$$\left\{ { {1 \over 3}, 1} \right\}$$

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