If the image of the point P(1,−2,3) in the plane, 2x+3y−4z+22=0 measured parallel to the line, x1=y4=z5 is Q, then PQ is equal to

Equation of the line passing through P(1,−2,3)with dr's (1,4,5) is x−11=y+24=z−35=tR(t+1,4t−2,5t+3) lies on the plane then t = 1    ,R (2,2,8)PQ=2PR=21+16+25=242