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One side of a square of length \( a \) is inclined to the \( x \)-axis at an angle \( \alpha \) with one of the vertices of the square at the origin. The equation of a diagonal of the square is
\( \mathrm{P} \)
W
(a) \( y(\cos \alpha-\sin \alpha)=x(\cos \alpha+\sin \alpha) \)
(b) \( y(\cos \alpha+\sin \alpha)=x(\cos \alpha-\sin \alpha) \)
(c) \( y(\sin \alpha+\cos \alpha)-x(\sin \alpha-\cos \alpha)=a \)
(d) \( y(\sin \alpha+\cos \alpha)+x(\sin \alpha-\cos \alpha)=a \)
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