If \( m \) is the slope of a common tangent to the curves \( \frac{x^{2}}{16}+\frac{y^{2}}{9}=1 ...

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If \( m \) is the slope of a common tangent to the curves \( \frac{x^{2}}{16}+\frac{y^{2}}{9}=1 \) and \( x^{2}+y^{2}=12 \), then \( 12 m^{2} \) is equal to:
(a) 6
(b) 9
(c) 10
(d) 12
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