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If the straight line x cos alpha + y sin...

If the straight line `x cos alpha + y sin alpha = p` touches the curve `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` then prove that `a^(2)cos^(2)alpha+b^(2)sin^(2)alpha= p^(2)`.

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The correct Answer is:
`p^(2)`
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