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Let a circle C of radius 5 lies below th...

Let a circle C of radius 5 lies below the x-axis. The line `L_1 4 x + 3y + 2 =0` passes though the centre P of the circle C and intersects the line `L_2 : 3x - 4y - 11 = 0` at Q. The line `L_2` touches C at the point Q. Then the distance of P from the line `5x - 12 y + 51 = 0` is __________.

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