The ellipse $ 4x^2 + 9y^2 = 36$ and the hyperbola $ 4x^2 -y^2 = 4$ have the same foci and they intersect at right angles then the equation of the circle through the points of intersection of two conics is
The ellipse $ 4x^2 + 9y^2 = 36$ and the hyperbola $ 4x^2 -y^2 = 4$ have the same foci and they intersect at right angles then the equation of the circle through the points of intersection of two conics is
- A
$x^2 + y^2 = 5$
- B
$\sqrt 5$ $(x^2 + y^2) - 3x - 4y = 0$
- C
$ \sqrt 5$ $(x^2 + y^2) + 3x + 4y = 0$
- D
$x^2 + y^2 = 25$
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- [JEE MAIN 2015]
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