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

JEE Advanced Mathematics question

If the direction ratios of a line are , and it makes an angle of with the -axis then is

Answer: (B),(D)

The squared length of the direction ratios is . The cosine of the angle with the -axis is the -component:

= 60° = 12 ⇒ 4(1 - λ = 2λ^2 + 6 ⇒ λ^2 - 4λ - 1 = 0

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Question ID VK-109829