The asymptotes of the hyperbola \( \frac{x^{2}}{a_{1}^{2}}-\frac{y^{2}}{b_{1}^{2}}=1 \) and \( \....

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The asymptotes of the hyperbola \( \frac{x^{2}}{a_{1}^{2}}-\frac{y^{2}}{b_{1}^{2}}=1 \) and
\( \mathrm{P} \)
\( \frac{x^{2}}{a_{2}^{2}}-\frac{y^{2}}{b_{2}^{2}}=1 \) are perpendicular to each other. Then,
(1) \( \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}} \)
(2) \( a_{1} a_{2}=b_{1} b_{2} \)
(3) \( a_{1} a_{2}+b_{1} b_{2}=0 \)
(4) \( a_{1}-a_{2}=b_{1}-b_{2} \)


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