MathematicsMedium249×since 2002Q2454Let the plane P:8x+α1y+α2z+12=0\mathrm{P}: 8 x+\alpha_{1} y+\alpha_{2} z+12=0P:8x+α1y+α2z+12=0 be parallel to the line L:x+22=y−33=z+45\mathrm{L}: \frac{x+2}{2}=\frac{y-3}{3}=\frac{z+4}{5}L:2x+2=3y−3=5z+4. If the intercept of P\mathrm{P}P on the yyy-axis is 1 , then the distance between P\mathrm{P}P and L\mathrm{L}L is :A614\frac{6}{\sqrt{14}}146B14\sqrt{14}14C27\sqrt{\frac{2}{7}}72D72\sqrt{\frac{7}{2}}27Check answerSkip