The chords passing through \( (2,1) \) intersect the P W hyperbola ...

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The chords passing through \( (2,1) \) intersect the
P
W hyperbola \( \frac{x^{2}}{16}-\frac{y^{2}}{9}=1 \) at \( A \) and \( B \). The locus of the point of intersection of tangent at \( A \) and \( B \) the hyperbola is
(1) \( x-y=1 \)
(2) \( x+y=3 \)
(3) \( 9 x-8 y=72 \)
(4) \( 9 x+8 y=7 \)
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