Q.

If the dr’s of a line are (1+λ, 1−λ,2) and it makes an angle 600 with  the Y- axis then λ  is

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a

1±3

b

4±5

c

2±25

d

2±5

answer is D.

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Detailed Solution

cosβ=ba2+b2+c2 a1,b1,c1=(1+λ,1-λ,2) a2,b2,c2=(0,1,0)⇒λ2−4λ−1=0⇒λ=2±5
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If the dr’s of a line are (1+λ, 1−λ,2) and it makes an angle 600 with  the Y- axis then λ  is