Let there be two parabolas `y^2=4a x` and `y^2=-4b x` (where `a!=ba n da ,b >0)` . Then find the locus of the middle points of the intercepts between the parabolas made on the lines parallel to the common axis.

The locus of the middle points of the focal chords of the parabola, y 2 =4x

Let there be two parabolas with the same axis, focus of each being exterior to the other and the latus rectam being 4a and 4b. The locus of the middle points of the intercepts between the parabolas made on the lines parallel to the common axis is a:

The locus of the middle points of the focal chords of the parabola, y^2=4x is:

The locus of the middle points of the focal chords of the parabola, y^2=4x is:

The locus of the middle points of normal chords of the parabola y^2 = 4ax is-

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 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 middle points of the chords of the parabola y^(2) = 4x which touch the parabola x^(2) = -8y .

Locus of the mid point of chords of the parabola y^2 = 4ax parellel to the line lx+my+n=0.

Find the locus of the middle points of the chords of the parabola y^2=4a x which subtend a right angle at the vertex of the parabola.