If the line $y = mx + c$ is a common tangent to the hyperbola $\frac{x^{2}}{100} - \frac{y^{2}}{64} = 1\ $ and the circle $x^{2} + y^{2} = 36,\ $then which one of the following is true ?

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If the line \(y = mx + c\) is a common tangent to the hyperbola \(\frac{x^{2}}{100} - \frac{y^{2}}{64} = 1\ \) and the c…

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