Question 118
Write the equation of the conic on which lie the centres of all those circles that touch both the circle $x^{2}+y^{2}=9$ and the circle $x^{2}+(y-4)^{2}=1$, but do not contain the point $T(0,3)$. Write the equation of the conic in standard form.
(20 points)
(20 points)