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If the straight line (x)/(h)+(y)/(k)=1 t...

If the straight line `(x)/(h)+(y)/(k)=1` touches the curve `(x/a)^(n)+((y)/(b))^(n)=1`, then show that `((a)/(h))^((n)/(n-1))+((b)/(k))^((n)/(n-1))=1`

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The correct Answer is:
`((a)/(h))^((n)/(n-1))+((b)/(k))^((n)/(n-1))=1`
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