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`

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

Prove that the locus of the mid -points of the chords of the circle x^(2)+y^(2)=16 which are tangents to the hyperbola 9x^(2)-16y^(2)=144 is (x^(2)+y^(2))^(2)=16x^(2)-9y^(2) .

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

The locus of the mid-points of the chords of the circle x^(2) + y^(2) = 16 which are the tangents to the hyperbola 9x^(2) - 16y^(2) = 144 is

The locus of the midpoint of the chord of the circle x^2+y^2=25 which is tangent of the hyperbola x^2/9-y^2/16=1 is

The locus of the midpoints of the chord of the circle, x ^(2) + y ^(2) = 25 which is tangent to the hyperbola, (x ^(2))/( 9) - (y ^(2))/(16)=1 is :

The vertices of the hyperbola 9x^2 - 16y^2 = 144

The foci of the hyperbola 9x^2-16 y^2=144 are