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If the tangent to the curve, y = x 3 + ax – b at the point (1, – 5) is perpendicular to the line, –x + y + 4 = 0, then which one of the following points lies on the curve?

1. (2, – 2)
2. (– 2, 2)
3. (– 2, 1)
4. (2, – 1)

Correct answer: (2, – 2)

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