Tangents are drawn from any point on the ellipse $\frac{x^2}{9}+\frac{y^2}{4}=1$ to the circle $x^2+y^2=1$ and respective chord of contact always touches a conic “C”. Then, which of the following is/are true?

$\left(\right(3\cos \theta ,2\sin \theta )$ be any point on ellipse. Chord of contact is  $3x\cos \theta +2y\sin \theta =1$ 1which
always touches $9x^2+4y^2=1$
$\text{ "C" is }\frac{x^2}{1/9}+\frac{y^2}{1/4}=1$
Minimum distance between “C”& ellipse in $3/2$
Maximum distance is $\frac{10}{3}$
Eccentricity is $\frac{\sqrt{5}}{3}$