(i)[5]
When $k = 2$, the line and the curve cross at $A$ and $B$. Determine the length $AB$ and the coordinates of the midpoint of $AB$.
(ii)[4]
Determine the two values of $k$ for which the line is tangent to the curve.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The line is given by $y = kx + 6$ and the curve is given by $y = x^2 + 3x + 2k$, with $k$ a constant.