If \( a x+b y=1 \) is tangent to the hyperbola \( \frac{x^{2}}{a^{2...

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If \( a x+b y=1 \) is tangent to the hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \), then
P \( a^{2}-b^{2} \) is equal to
(1) \( 1 / a^{2} e^{2} \)
(2) \( a^{2} e^{2} \)
(3) \( b^{2} e^{2} \)
(4) none of these
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