If the distance between two parallel tangents drawn to the hyperbola \( \frac{x^{2}}{9}-\frac{y^...

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If the distance between two parallel tangents drawn to the hyperbola \( \frac{x^{2}}{9}-\frac{y^{2}}{49}=1 \) is 2 , then their slope is equal to:
(a) \( \pm 5 / 2 \)
(b) \( \pm 4 / 5 \)
(c) \( \pm 7 / 2 \)
(d) None of these
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