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The line x cos alpha +y sin alpha =p ...

The line x cos `alpha +y sin alpha =p` is tangent to the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1.`if

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