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Q.

The acute angle between the two lines whose dc’s are given by  l+mn=0 and  l2+m2n2=0 is

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a

0

b

π6

c

π4

d

π3

answer is D.

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Detailed Solution

l2+m2-l+m2=0lm=0m=0l=nl:m:n=1:0:1l=0m=nl:m:n=0:1:1 cosθ=0.1+1.0+1.122=12θ=π3

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The acute angle between the two lines whose dc’s are given by  l+m−n=0 and  l2+m2−n2=0 is