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Q.

If the direction cosines of a line ‘L’ are (ab,b,b) and the angle between ‘L’ and x-axis is  'π3 . Then a pair of possible values for a,b are

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a

2,5

b

23,38

c

83,23

d

3,4

answer is A.

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Detailed Solution

(l,m,n)=(ab,b,b)∴ab=cos⁡π3=12⇒ab=12(ab)2+b2+b2=1⇒2b2=1−14=34⇒b=38⇒ but ab=12⇒a=23

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