The determinant \( \left|\begin{array}{ccc}y^{2} & -x y & x^{2} \\ a & b & c \\ a^{\prime} & b^{...

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The determinant \( \left|\begin{array}{ccc}y^{2} & -x y & x^{2} \\ a & b & c \\ a^{\prime} & b^{\prime} & c^{\prime}\end{array}\right| \) is equal to
(a) \( \left|\begin{array}{cc}b x+a y & c x+b y \\ b^{\prime} x+a^{\prime} y & c^{\prime} x+b^{\prime} y\end{array}\right| \)
(b) \( \left|\begin{array}{cc}a^{\prime} x+b^{\prime} y & b x+c y \\ a x+b y & b^{\prime} x+c^{\prime} y\end{array}\right| \)
(c) \( \left|\begin{array}{cc}b x+c y & a x+b y \\ b^{\prime} x+c^{\prime} y & a^{\prime} x+b^{\prime} y\end{array}\right| \)
(d) \( \left|\begin{array}{cc}a x+b y & b x+c y \\ a^{\prime} x+b^{\prime} y & b^{\prime} x+c^{\prime} y\end{array}\right| \)
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