Find the locus of the midpoints of the portion of the normal to the parabola `y^2=4a x` intercepted between the curve and the axis.

Find the locus of the mid points of the portion of the lines xsintheta+y costheta=p intercepted between the axes.

which Find the locus of the mid-point of the portion of the line x cos alpha+y sin alpha=p intercepted between the axes

Prove that the locus of the middle point of portion of a normal to y^(2) = 4ax intercepted between the curve & the axis is another parabola. Find the vertex & the latus rectum of the second parabola.

Find the locus of the mid-point of the portion of the line x cos alpha+y sin alpha=p which is intercepted between the axes.