If the line `2x-y+1=0` touches the circle at the point `(2,5)` and the centre of the circle lies in the line `x+y-9=0.` Find the equation of the circle.

Explanation

`2x-y+1=0`

Equation of Normal

`Y-Y_1=m(x-x_1)`

`Y-S=-1/2(x-2)`

`Y-S=-1/2x+1`

`2y-10+x-1=0`

`2y+x-11=0`

Equation of number.

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