1.

Let O be the centre of the circle x2 + y2 = r2, where r >√52. Suppose PQ is a chord of this circleand the equation of the line passing through P and Q is 2x + 4y = 5. If the centre of thecircumcircle of the triangle OPQ lies on the line x + 2y = 4, then the value of r is _____

Answer» Let O be the centre of the circle x
2 + y
2 = r
2
, where r >
√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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