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The equation of line passing through (1,5,3) and having direction ratios l,m,12  in symmetric form is x1l=y5m=z312 then l2+m2=

a
1
b
12
c
34
d
14

detailed solution

Correct option is C

If ⟨l,m,n⟩ are direction cosines of a line then l2+m2+n2=1Hence, l2+m2+(12)2=1⇒l2+m2=1−14=34

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