Let PQ be a diameter of the circle x^(2)...

Let PQ be a diameter of the circle `x^(2) + y^(2)=9` If `alpha` and `beta` are the lengths of the perpendiculars from P and Q on the straight line, x+y=2 respectively, then the maximum value of `alpha beta` is ______.

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Let PQ be a diameter of the circle `x^(2) + y^(2)=9` If `alpha` and `beta` are the lengths of the perpendiculars from P and Q on the straight line, x+y=2 respectively, then the maximum value of `alpha beta` is ______.

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