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Position of a Point W.R.T Ellipse

The line 2 x ...

Question

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

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