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Q.

The direction cosines l,m,n of two lines are satisfying  3l+m+5n=0  and 6mn2nl+5lm=0 .  If  θ  is the angle between those lines then  |cosθ|=

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a

1/2

b

1/6

c

1/3

d

1/6 

answer is C.

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Detailed Solution

3l+m+5n=0m=3l5n.   D.r's  of  the  lines  are  (1,2,1),  (2,1,1)|cosθ|=|(1)(2)+(2)(1)+(1)(1)1+4+44+1+1|=|22+16|=16

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