Find the locus of mid-point of chord of parabola `y^2 = 4ax` which touches the parabola `x^2 = 4by`

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

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

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

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

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

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

Find the locus of the mid-points of the chords of the hyperbola x^(2)-y^(2)=1 which touch the parabola y^(2)=4x

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