Hi,
How do you prove that the projection of the intersection point between two tangents of the parabola projected to the x-axix is at the midpoint between the two points (of tangents with the parabola) on the x axis.?
Thanks
Hi,
Let P be the parabola
One Cartesian equation of the tangent of the parabola at point is
The abscissa of the intersection point between two tangents of the parabola at points and is given by
Simplification leads to
a being non-zero and x0 being different from x1