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Q.

Statement I: If θ  is angle between two lines whose Dc’s are (l1,m1,n1)  and  (l2,m2,n2)  then  cosθ=l1l2+m1m2+n1n2 
Statement II: If  (l1,m1,n1)  and (l2,m2,n2) are Dc’s of two lines then  

(l1l2+m1m2+n1n2)2+(l1m2l2m1)2+(m1n2m2n1)2+(n1l2n2l1)2=1
Statement III: The triplets (17,47,27)  be the Dc’s of a line 
which of the above statement is correct
 

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a

I,II

b

I,III

c

II,III

d

all the above

answer is A.

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Detailed Solution

I)    cosθ==l1+l2,m1+m2,n1+n2
II)  true by legrange’s identity
III)  (l,m,n)=(17,47,27) these are not DC’s of a line
 

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