Let O be the centre of the circle x2+y2=r2, where r>√52. 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

Let O be the centre of the circle x2+y2=r2, where r>√52. Suppose PQ

1.	Let O be the centre of the circle x2+y2=r2, where r>√52. 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
Answer» Let $O$ be the centre of the circle $x^{2} + y^{2} = r^{2},$ where $r > \frac{\sqrt{5}}{2} .$ Suppose $P Q$ is a chord of this circle and the equation of the line passing through $P$ and $Q$ is $2 x + 4 y = 5.$ If the centre of the circumcircle of the triangle $O P Q$ lies on the line $x + 2 y = 4,$ then the value of $r$ is