JEE Main 2022 · 27 Jun · Shift 2, Mathematics question 29

Let a circle C of radius 5 lie below the $x$-axis. The line $L_1:4x+3y+2=0$ passes through 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 $5x-12y+51=0$ is ______.