The sides \( A C \) and \( A B \) of a triangle \( A B C \) touch t...

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The sides \( A C \) and \( A B \) of a triangle \( A B C \) touch the conjugate hyperbola of the hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \) at
\( \mathrm{P} \)
\( C \) and \( B \) respectively. If the vertex \( A \) lies on the ellipse \( \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 \), the side \( B C \)
W
(A) must touch the ellipse
(B) must cut the ellipse at two distinct points
(C) may not touch the ellipse
(D) may cut the ellipse at two distinct points
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