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The equations to the straight lines passing through the origin and making an angle \( \alpha \) with the straight line \( y+x=0 \) are given by
(A) \( x^{2}+2 x y \sec 2 \alpha+y^{2}=0 \)
(B) \( x^{2}-2 x y \sec 2 \alpha+y^{2}=0 \)
(C) \( x^{2}+2 x y \cos 2 \alpha+y^{2}=0 \)
(D) none of these
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