JEE Advanced Model Paper 20 with solutions for online practice

Let the DRs of the line of intersection be l,m,n. Normal to the palne parallel to i+j+k and 2i will be inthe direction of to (i+j+k) x 2i = -2j+2k and line of intersection of given planes will be perpendicularto this hence 2m +2n = 0 similarly l-m+n =0. On solving

l

0

=

m

1

=

n

1

. Hence cosθ =

1

√10

and tan θ = 3