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Let $E$ be the ellipse $ \large\frac{x^2}{9} +\frac{y^2}{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

$\begin{array}{1 1} 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 \end{array} $

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