The angle between two straight lines having direction cosines l21,m21,121 and 354,354,3l54 is 900, then a pair of possible values of l,m respectively are
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a
2,4
b
-2,4
c
-2,-4
d
1,2
answer is B.
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Detailed Solution
If the direction ratios of two perpendicular lines are proportional to a1,b1,c1,a2,b2,c2 then a1a2+b1b2+c1c2=0Hence l21⋅354+m21⋅354+121⋅3l54=0It implies that 6l+3m=0⇒2l+m=0Verify the options for suitable values of l,m
The angle between two straight lines having direction cosines l21,m21,121 and 354,354,3l54 is 900, then a pair of possible values of l,m respectively are