Mathematics · 2013
JEE Main · 9 April 2013, Shift 1 · Q78
If a and c are positive real numbers and the ellipse x^2/(4 c^2)+y^2/(c^2)=1 has four distinct points in common with the circle x^2+y^2=9 a^2, then
If a and c are positive real numbers and the ellipse $\displaystyle \frac{x^2}{4 \mathrm{c}^2}+\frac{y^2}{\mathrm{c}^2}=1$ has four distinct points in common with the circle $\displaystyle x^2+y^2=9 \mathrm{a}^2$, then
Official answer
(3)
$\displaystyle 9 a c-9 a^2-2 c^2>0$
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JEE Main 2013 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.