Questions
If the direction cosines of two lines are connected by the relations , then the sum of all possible values of is
a
313
b
6013
c
−3013
d
−6013
detailed solution
Correct option is C
The given relations are l+3m+5n=0 and 2l2−5m2+n2=0From the first relation l=3m+5n, substitute this in the second equation 23m+5n2−5m2+n2=018m2+50n2−5m2+n2+30mn=013m2+51n2+30mn=0 Divide both sides by n2It gives 13mn2+30mn+51=0 Sum of all the values of mn is −3013Talk to our academic expert!
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