Consider the lines L1:x−12=y−1=z+31,L2:x−41=y+31=z+32, and the planes P1:7x+y+2z=3, P2:3x+5y−6z=4. Let ax+by+cz=d the equation of the plane passing through the point of intersection of lines L1 and L2 and perpendicular to planes P1 and P2. Match List I with List II and select the correct answer using the code given below the lists. ListIListIIPa=113Qb=2−3Rc=31Sd=4−2

Consider the lines L1:x−12=y−1=z+31,L2:x−41=y+31=z+32, and the p

1.	Consider the lines L1:x−12=y−1=z+31,L2:x−41=y+31=z+32, and the planes P1:7x+y+2z=3, P2:3x+5y−6z=4. Let ax+by+cz=d the equation of the plane passing through the point of intersection of lines L1 and L2 and perpendicular to planes P1 and P2. Match List I with List II and select the correct answer using the code given below the lists. ListIListIIPa=113Qb=2−3Rc=31Sd=4−2
Answer» Consider the lines $L_{1} : \frac{x - 1}{2} = \frac{y}{- 1} = \frac{z + 3}{1}, L_{2} : \frac{x - 4}{1} = \frac{y + 3}{1} = \frac{z + 3}{2},$ and the planes $P_{1} : 7 x + y + 2 z = 3, P_{2} : 3 x + 5 y - 6 z = 4.$ Let $a x + b y + c z = d$ the equation of the plane passing through the point of intersection of lines $L_{1}$ and $L_{2}$ and perpendicular to planes $P_{1}$ and $P_{2}$ . Match List I with List II and select the correct answer using the code given below the lists. $\begin{matrix} L i s t I & L i s t I I P & a = & 1 & 13 Q & b = & 2 & - 3 R & c = & 3 & 1 S & d = & 4 & - 2 \end{matrix}$