Answer :

Slope of y = x – 11 is equal to 1


3x2 – 11 = 1 x = 2 and -2


At x = 2


From the equation of curve, y = (2)3 – 11(2) + 5 = -9


From the equation of tangent, y = 2 – 11 = -9


At x = -2


From the equation of curve, y = (-2)3 – 11(-2) + 5 = 19


From the equation of tangent, y = -2 – 11 = -13


So, the final answer is (2, -9) because at x = -2, y is come different from the equation of curve and tangent which is not possible.


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