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Let O be the centre of the circle x + y = r, where r > 2 Suppose PQ is a chord of this

Let O be the centre of the circle x + y = r, where r > 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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