Question

The direction ratio of the line 2x - 1 = 3y + 2 = z - 2 are ______.

Options

• 3, 2, 6

• 3, 2, - 6

• 3, -1, -6

• -3, 1, 6

Answer 1

The direction ratio of the line 2x - 1 = 3y + 2 = z - 2 are 3, 2, 6.

Explanation:

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

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

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

`=> (x - 1/2)/3 = (y + 2/3)/2 = (z - 2)/6`

∴ The direction ratios of the line are 3, 2, 6.