The equation(s) to common tangent(s) to the two hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^...

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The equation(s) to common tangent(s) to the two hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 \) and \( \frac{y^{2}}{a^{2}}-\frac{x^{2}}{b^{2}}=1 \) is/are:
(a) \( y=x+\sqrt{a^{2}-b^{2}} \)
(b) \( y=x-\sqrt{a^{2}+b^{2}} \)
(c) \( y=-x+\sqrt{a^{2}+b^{2}} \)
(d) \( y=-x-\sqrt{a^{2}-b^{2}} \)
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