If \( x=a(\operatorname{cosec} \theta+\cot \theta) \) and \( y=b(\cot \theta-\operatorname{cosec...

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If \( x=a(\operatorname{cosec} \theta+\cot \theta) \) and \( y=b(\cot \theta-\operatorname{cosec} \theta) \), then
(a) \( x y-a b=0 \).
(b) \( x y+a b=0 \).
(c) \( \frac{x}{a}+\frac{y}{b}=1 \).
(d) \( x^{2} y^{2}=a b \).
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