If \( x=a \cos \theta \) and \( y=b \sin \theta \), then \( b^{2} x^{2}+a^{2} y^{2}= \) Q (a) \(...

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If \( x=a \cos \theta \) and \( y=b \sin \theta \), then \( b^{2} x^{2}+a^{2} y^{2}= \)
Q
(a) \( a^{2} b^{2} \)
(b) \( a b \)
(c) \( a^{4} b^{4} \)
(d) \( a^{2}+b^{2} \)
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