Find the point on the curve y = x^ 3 – 11x + 5 at which the tangent is y = x – 11.

Given: Equation of the curve  ……….(i)

Equation of the tangent ……….(ii)

From eq. (i), 

= Slope of the tangent at 

But from eq. (ii), the slope of tangent = 

From eq. (i), when  

And when  

Since  does not satisfy eq. (ii), therefore the required point is