Prove that the locus of the middle point of the portion of a normal to y2=4ax intercepted between the curve and the axis is another parabola. Find the vertex and the latus rectum of the second parabola.
Prove that the locus of the middle point of the portion of a normal to y2=4ax intercepted between the curve and the axis is another parabola. Find the vertex and the latus rectum of the second parabola.