Question

Let S be the set of all values of x for which the tangent to the curve y = f(x) = x³ – x²
– 2x at (x, y) is parallel to the line segment joining the points (1, f (1)) and (–1, f (–1)) , then S is equal to:
(A) {1/3, -1}
(B) {-1/3, -1}
(C) {1/3, 1}
(D) {-1/3, 1}

Answer 1

Let S be the set of all values of x for which the tangent to the curve y = f(x) = x³ – x²

– 2x at (x, y) is parallel to the line segment joining the points (1, f (1)) and (–1, f (–1)) , then S is equal to:

(A) {1/3, -1}

(B) {-1/3, -1}

(C) {1/3, 1}

(D) {-1/3, 1}✅⚡