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If the line p=x cos alpha+y sin alpha to...

If the line `p=x cos alpha+y sin alpha` touches the curve `((x)/(a))^((n)/(n-1))+((y)/(b))^((n)/(n-1))=1` show that `p^(n)=(a cos alpha)^(n)+(b sin alpha)^(n)`

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This is the required condition
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