Hello Aspirant,

Hope you are doing well.

The direction ratios of the line x-1/2 = 3y = 2z+3/4 are 2, 1/3, 2

= x - 1/2 = 3y = 2z + 3/4

= (x - 1/2) /1 = y / (1/3) = (((2z + 3) / 2) (4/2))

= (x - 1/2) /1 = y / (1/3) = (z+3/2) / 2

On comparing,

then, The direction ratios are 2, 1/3, 2

I hope this  will help you.

Feel free to ask any query.

All the best!!