Find the area of the triangle formed by any tangent to the hyperbola a2x2−b2y2=1 with its asymptotes.

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Find the area of the triangle formed by any tangent to the hyp

Question

Find the area of the triangle formed by any tangent to the hyperbola $\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1$ with its asymptotes.

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Find the area of the triangle formed by any tangent to the hyperbola

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

with its asymptotes.

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Question Text

Find the area of the triangle formed by any tangent to the hyperbola

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

with its asymptotes.