Two tangents are drawn from a point on hyperbola P \( x^{2}-y^{2}=5...

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Two tangents are drawn from a point on hyperbola
P \( x^{2}-y^{2}=5 \) to the ellipse \( \frac{x^{2}}{9}+\frac{y^{2}}{4}=1 \). If they make

W angles \( \alpha \) and \( \beta \) with \( x \)-axis, then
(1) \( \alpha-\beta= \pm \pi / 2 \)
(2) \( \alpha+\beta=\pi / 2 \)
(3) \( \alpha+\beta=\pi \)
(4) \( \alpha+\beta=0 \)
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