MathematicsMedium249×since 2002Q2469Let P be the point of intersection of the line x+33=y+21=1−z2{{x + 3} \over 3} = {{y + 2} \over 1} = {{1 - z} \over 2}3x+3=1y+2=21−z and the plane x+y+z=2x+y+z=2x+y+z=2. If the distance of the point P from the plane 3x−4y+12z=323x - 4y + 12z = 323x−4y+12z=32 is q, then q and 2q are the roots of the equation :Ax2+18x−72=0{x^2} + 18x - 72 = 0x2+18x−72=0Bx2−18x−72=0{x^2} - 18x - 72 = 0x2−18x−72=0Cx2+18x+72=0{x^2} + 18x + 72 = 0x2+18x+72=0Dx2−18x+72=0{x^2} - 18x + 72 = 0x2−18x+72=0Check answerSkip