Find the equations to the common tangents to the two hyperbolas a2x2−b2y2=1 and a2y2−b2x2=1

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Find the equations to the common tangents to the two hyperbola

Question

Find the equations to the common tangents to the two hyperbolas $\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1$ and $\frac{y ^{2}}{a ^{2}} - \frac{x ^{2}}{b ^{2}} = 1$

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Find the equations to the common tangents to the two hyperbolas

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1

and

\frac{y ^{2}}{a ^{2}} - \frac{x ^{2}}{b ^{2}} = 1

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Question Text

Find the equations to the common tangents to the two hyperbolas

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1

and

\frac{y ^{2}}{a ^{2}} - \frac{x ^{2}}{b ^{2}} = 1