JEE Advance - Mathematics (1994 - No. 46)
Let $$E$$ be the ellipse $${{{x^2}} \over 9} + {{{y^2}} \over 4} = 1$$ and $$C$$ be the circle $${x^2} + {y^2} = 9$$. Let $$P$$ and $$Q$$ be the points $$(1, 2)$$ and $$(2, 1)$$ respectively. Then
$$Q$$ lies inside $$C$$ but outside $$E$$
$$Q$$ lies outside both $$C$$ and $$E$$
$$P$$ lies inside both $$C$$ and $$E$$
$$P$$ lies inside $$C$$ but outside $$E$$