The ellipse \( 4 x^{2}+9 y^{2}=36 \) and the hyperbola \( a^{2} x^{2}-y^{2}= \) 4 intersect at r...

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The ellipse \( 4 x^{2}+9 y^{2}=36 \) and the hyperbola \( a^{2} x^{2}-y^{2}= \) 4 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) \( \sqrt{5}\left(x^{2}+y^{2}\right)-3 x-4 y=0 \)
(c) \( \sqrt{5}\left(x^{2}+y^{2}\right)+3 x+4 y=0 \)
(d) \( x^{2}+y^{2}=25 \)
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