The curve \(\frac{{{x^n}}}{{{a^n}}} + \frac{{{y^n}}}{{{b^n}}} = 2\) touches the line \(\frac{x}{a} + \frac{y}{b} = 2\) at the point P, where P is:

1
(a, b)
2
(b, a)
3
(1, 1)
4
\(\left( {\frac{1}{a}, - b} \right)\)

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