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Let O be the centre of the circle x^(2...

Let O be the centre of the circle `x^(2) +y^(2) = r^(2) ` where ` r gt (sqrt(5))/2 .` Suppose PQ is a chord of this circle and the equation of the line passing through P and Q is `2x+4y = 5` , If the centre of the circumcircle of the triangle OPQ lies on the line `x+2y= 4` , then the value of r is `....`

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