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If lines \( x=a y+b, \quad z=c y+d \) and \( x=a^{\prime} z+b^{\prime} \), \( y=c^{\prime} z+d^{\prime} \) are perpendicular, then(2019 Main, 9 Jan II)
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(a) \( a b^{\prime}+b c^{\prime}+1=0 \)
(b) \( b b^{\prime}+c c^{\prime}+1=0 \)
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(c) \( a a^{\prime}+c+c^{\prime}=0 \)
(d) \( c c^{\prime}+a+a^{\prime}=0 \)
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