In a hyperbola, the portion of the tangent intercepted between the ...

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In a hyperbola, the portion of the tangent intercepted between the asymptotes is bisected at the point of contact.
Consider a hyperbola whose center is at the origin. A line \( x+y= \)
W 2 touches this hyperbola at \( P(1,1) \) and intersects the asymptotes at \( A \) and \( B \) such that \( A B=6 \sqrt{2} \) units.
The equation of the tangent to the hyperbola at \( (-1,7 / 2) \) is
(1) \( 5 x+2 y=2 \)
(2) \( 3 x+2 y=4 \)
(3) \( 3 x+4 y=11 \)
(4) none of these
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