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`.

The locus of the mid-point of the chords of the hyperbola x^(2)-y^(2)=4 , that touches the parabola y^(2)=8x is

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 mid-point of chord of parabola y^(2)=4ax which touches the parabola x^(2)=4by

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

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.

The locus of the mid - points of the chords of the hyperbola 3x^(2)-2y^(2)+4x-6y=0 which are parallel to the line y=2x+4 is

Find the locus of the-mid points of the chords of the circle x^(2)+y^(2)=16, which are tangent to the hyperbola 9x^(2)-16y^(2)=144