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P(x, y) satisfy x^2+y^2= 1, let maximum...

`P(x, y)` satisfy `x^2+y^2= 1`, let maximum value of `(x+y)^2` is `lambda`, then number of tangents drawn from the point `(lambda,0)` to hyperbola `(x-2)^2-y^2=1` is

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