If a line x+1 p = y-1 q = z-2 r where p=2q=3r, makes an angle with the positive direction of y-axis, then what is 2 equal to?

NDA 2025 Mathematics question

If a line

where , makes an angle with the positive direction of -axis, then what is equal to?

Answer: (A)

Let ; then , , , so the direction ratios are . The direction cosine with the -axis is $θ =

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Question ID VK-030075