Find locus of mid point of chord of `x^2-y^2=4` such that this chord touches `y^2=8x`

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

Find the locus of the mid-point of chord of the circle x^(2)+y^(2)=9 such that segment intercepted by the chord on the curve y^(2)-4x-4y=0 subtends the right angle at the origin.

Find the locus of the mid point of the chord of a circle x^(2) + y^(2) = 4 such that the segment intercepted by the chord on the curve x^(2) – 2x – 2y = 0 subtends a right angle at the origin.

The locus of mid-point of the chord of circle x^2+y^2=16 , which are tangent to the hyperbola 9x^2-16y^2=144 , is

(1,-3) is a Mid point of the chord of x^(2)=4y equation of the chord is

(1,-3) is a Mid point of the chord of x^(2)=4y equation to the chord is

Find the locus of the mid point of all chords of the circle x^(2)+y^(2)-2x-2y=0 such that the pairof.lines joining (0,0)& the point of intersection of the chords with the circles make equal an axis of x.

Locus of Mid Point of chord of y^(2)=4(x+1) which are parallel to 3x-4y=0 is

find the locus of mid point of chords of circle x^(2)+y^(2)=25 which subtends right angle at origin