Let li and L 2 denote the lines 
and 
respectively. If L 3 is a line which is perpendicular to both li and L 2 and cuts both of them, then which of the following options describe (s) L 3 ?
Text Solution
Verified by ExpertsD
(A, B, C)
Equation of L 1 
Equation of L 2 
L 1 & L 2 are skew lines
The direction ratios of line AB which is perpendicular to L 1 and L 2 will be
Hence direction ratios of AB will be (2, 2, -1)
direction ratios of AB proportional to (2, 2, -1)
1- 
-2 
= 2k ... (i)
2 
+ 
= 2k ... (ii)
2 
-2 
= -k ... (iii)
solving (i) (ii) & (iii)
we get 
= 1/9
= 2/9
Equation of line L 3 (A, B) passing through A
option correct
Equation of line L 3 passing through B
Option is correct, option also satisfy
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