The tangent to the curve y = x³ at the point (1, 1) meets the curve again at the point:

The tangent to the curve y = x³ at the point (1, 1) meets the curve again at the point:

• A. (-2, -8)
• B. (2, 8)
• C. (-1, -1)
• D. (0, 0)

Answer: A) (-2, -8)

Explanation: dy/dx = 3x². At (1,1), m = 3. Tangent: y - 1 = 3(x - 1) → y = 3x - 2. Intersecting with y = x³: x³ - 3x + 2 = 0. Roots are x = 1, x = -2. At x = -2, y = -8.