Consider the lines , L_2: x-4 1 = y+3 1 = z+3 2 and the planes

MATHEMATICS · Single correct · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

Consider the lines L1:x−12=y−1=z+31L_1: \frac{x-1}{2} = \frac{y}{-1} = \frac{z+3}{1} , L2:x−41=y+31=z+32L_2: \frac{x-4}{1} = \frac{y+3}{1} = \frac{z+3}{2} and the planes P1:7x+y+2z=3,P2:3x+5y−6z=4P_1: 7x + y + 2z = 3, P_2: 3x + 5y - 6z = 4 . Let ax+by+cz=dax + by + cz = d the equation of the plane passing through the point of intersection of lines L1L_1 and L2L_2 and perpendicular to planes P1P_1 and P2P_2 . Match List I with List II and select the correct answer using the code given below the lists.
List IList II
P. a=a =1. 13
Q. b=b =2. −3-3
R. c=c =3. 1
S. d=d =4. −2-2
(1) P-3 Q-2 R-4 S-1 (2) P-1 Q-3 R-4 S-2 (3) P-3 Q-2 R-1 S-4 (4) P-2 Q-4 R-1 S-3

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