The vertices of \( \triangle A B C \) lie on a rectangular hyperbol...

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The vertices of \( \triangle A B C \) lie on a rectangular hyperbola such
\( \mathrm{P} \) that the orthocentre of the triangle is \( (2,3) \) and the

W asymptotes of the rectangular hyperbola are parallel to the coordinate axes. The two perpendicular tangents of the hyperbola intersect at the point \( (1,1) \).
The number of real tangents that can be drawn from the point \( (1,1) \) to the rectangular hyperbola is
(1) 0
(2) 2
(3) 3
(4) 4
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