Equation of the tangent to the ellipse in the parametric form is,
If it the normal to the circle, it passes through its centre (4,2)
"It does not do to dwell on dreams and forget to live, remember that." ~Albus Dumbledore, Sorcerer's Stone.
"It is our choices, Harry, that show what we are, far more than our abilities." ~Albus Dumbledore, Chamber of Secrets.
"Understanding is the first step to acceptance, and only with acceptance can there be recovery." ~Albus Dumbledore, Goblet of Fire.
"Do not pity the dead Harry, pity the living, and above all, those who live without love." ~Albus Dumbledore, Half Blood Prince.