JEE Advanced 2013 Paper 2 Mathematics Q19

Mathematics

Problem

Let

L_1:(x-1)/2=y/(-1)=(z+3)/1

and

L_2:(x-4)/1=(y+3)/1=(z+3)/2

. Let

P_1:7x+y+2z=3

and

P_2:3x+5y-6z=4

. The plane

ax+by+cz=d

passes through the intersection of

L_1

and

L_2

and is perpendicular to each of the planes

P_1

and

P_2

. Match List I with List II and select the correct answer using the code below. Column I — P:

a

; Q:

b

; R:

c

; S:

d

Column Ii — 1:

13

; 2:

-3

; 3:

1

; 4:

-2