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The line \( y=x+p \) (p is parameter) cuts the ellipse \( \frac{\mathrm{x}^{2}}{\mathrm{a}^{2}}+\frac{\mathrm{y}^{2}}{\mathrm{~b}^{2}}=1 \) at \( P \) and \( Q \), then mid point of \( P Q \) lies on
(A) \( a^{2} y+b^{2} x \)
(B) \( a^{2} y+b^{2} x=0 \)
\( \mathrm{P} \)
(C) \( a y+b x=0 \)
(D) none of these
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