The line 2x-y+1=0 is tangent to circle at (2,5) and the Venter of the circle lies on x-2y=4.then find radius of circle
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Solution
2x-y+1=0 is a tangent . + Slope=-1/2Then eq. Of OA is x+2y=12 According to centre of circle of coordinates(x-2y=4) We get,(8,2)R=OA=√(8-2)^2+(2-5)^2=3√5