Locus of mid points of chords of the parabola `y^(2)=4ax` parallel to the line Lx+my+n=0 is

Find the locus of midpoint normal chord of the parabola y^(2)=4ax

The locus of mid-point of the chords of the parabola y^(2)=4(x+1) which are parallel to 3x=4y is

The locus of mid points of chords of the parabola y^(2)=4ax passing through the foot of the directrix is

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

Prove that the locus of the middle points of all chords of the parabola y^(2)=4ax passing through the vertex is the parabola y^(2)=2ax

The locus of the middle points of all chords of the parabola y^(2)=4ax passing through the vertex is

Find the locus of the midpoint of chords of the parabola y^(2)=4ax that pass through the point (3a,a).

The mid point of a variable chord AB of the parabola y^(2)=4ax lies on the line y=px where p is a constant,then find the equation of the locus of the points of intersection of the tangents at A and B.