Question:
Find the point on the parabola $y=(x-3)^{2}$, where the tangent is parallel to the chord joining the point $(3,0)$ and $(4,1)$.
Solution:
Find the point on the parabola $y=(x-3)^{2}$, where the tangent is parallel to the chord joining the point $(3,0)$ and $(4,1)$.