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Find the equations of the two straight lines passing through the origin that make an angle of π/3 with the line (x-3)/2 = (y-3)/1 = z/1.

1. x/1 = y/2 = z/1; x/1 = y/1 = z/2
2. x/1 = y/2 = z/1; x/1 = y/1 = z/2
3. x/1 = y/2 = z/1; x/1 = y/1 = z/2
4. None of the above

Correct answer: None of the above

Solution

The correct option is 'None of the above' because the equations of the lines that make a specific angle with the given line must be derived using the direction ratios of the line and the angle condition, which are not represented in any of the provided options.

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