Question

The direction ratios 3x – 2 = 2y + 1 = 3z – 3 are ______.

Options

• 2, 3, 2

• 3, 2, –2

• 3, –2, –3

• –3, 1, 2

Answer 1

The direction ratios 3x – 2 = 2y + 1 = 3z – 3 are 2, 3, 2.

Explanation:

3x – 2 = 2y + 1 = 3z – 3

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

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

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

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