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Find the condition for the line x cos al...

Find the condition for the line `x cos alpha + y sin alpha = p` to be tangent to the hyperbole `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1`

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The correct Answer is:
`rArr a^(2) cos^(2) alpha - b^(2) sin ^(2) alpha = p^(2)`
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