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Find the equation of the tangent to the...

Find the equation of the tangent to the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1` at `( a sec, theta b tan theta)`. Hence show that if the tangent intercepts unit length on each of the coordinate axis than the point (a,b) satisfies the equation `x^(2)-y^(2)=1`

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The correct Answer is:
`x^(2)-y^(2)=1`
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