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Question

If the direction ratios of a line are 1+λ,1λ,2, and it makes an angle of 60o with the y-axis then λ is

A
1+3
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B
2+5
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C
13
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D
25
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Solution

The correct options are
B 2+5
D 25
If a,b,c are direction ratios and θ is the angle between y axis and line.
Then cosθ=ba2+b2+c2.
Hence by the given informations we have
14=cos2(60)=(1λ)2(1+λ)2+(1λ)2+4
λ24λ1
λ=2±5


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