MathematicsHard249×since 2002Q2609Let the line passing through the points P(2,−1,2)\mathrm{P}(2,-1,2)P(2,−1,2) and Q(5,3,4)\mathrm{Q}(5,3,4)Q(5,3,4) meet the plane x−y+z=4x-y+z=4x−y+z=4 at the point R\mathrm{R}R. Then the distance of the point R\mathrm{R}R from the plane x+2y+3z+2=0x+2 y+3 z+2=0x+2y+3z+2=0 measured parallel to the line x−72=y+32=z−21\frac{x-7}{2}=\frac{y+3}{2}=\frac{z-2}{1}2x−7=2y+3=1z−2 is equal to :A31\sqrt{31}31B189\sqrt{189}189C61\sqrt{61}61D3Check answerSkip