The two lines \( x=a y+b, z=c y+d \) and \( x=a^{\prime} y+b^{\prim...
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The two lines \( x=a y+b, z=c y+d \) and \( x=a^{\prime} y+b^{\prime} \),
\( \mathrm{P} \) \( z=c^{\prime} y+d^{\prime} \) are perpendicular to each other if
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(1) \( a a^{\prime}+c c^{\prime}=-1 \)
(2) \( a a^{\prime}+c c^{\prime}=1 \)
(3) \( \frac{a}{a^{\prime}}+\frac{c}{c^{\prime}}=-1 \)
(4) \( \frac{a}{a^{\prime}}+\frac{c}{c^{\prime}}=1 \)
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