Area of a parallelogram two of whose sides are given by \( 2 x^{2}-5 x y+2 y^{2}=0 \) and one of...

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Area of a parallelogram two of whose sides are given by \( 2 x^{2}-5 x y+2 y^{2}=0 \) and one of its diagonal is \( 5 x+2 y=1 \), is
(a) \( \frac{1}{6} \)
(b) \( \frac{1}{12} \)
(c) \( \frac{1}{20} \)
(d) \( \frac{1}{36} \)
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