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If P(1, 1//2) is a centre of similitude...

If `P(1, 1//2)` is a centre of similitude for the circles `x^(2)+y^(2)+4x+2y-4=0` and `x^(2)+y^(2)-4x-2y+4=0`, then the length of the common tangent through P to the circles, is

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