Question

Direction cosines of the line `(x + 2)/2 = (2y - 5)/3, z = -1` are ______.

पर्याय

• `4/5, 3/5, 0`

• `3/5, 4/5, 1/5`

• `-3/5, 4/5, 0`

• `4/5, -2/5, 1/5`

Answer 1

Direction cosines of the line `(x + 2)/2 = (2y - 5)/3, z = -1` are `underlinebb(4/5, 3/5, 0)`.

Explanation:

Equation of given line is

`(x + 2)/2 = (2y - 5)/3, z + 1` = 0

or `(x + 2)/2 = (y - 5/2)/(3/2), z + 1` = 0

So, DR of given line are `< 2, 3/2, 0 >`

As, `sqrt(2^2 + (3/2)^2 + 0)`

= `sqrt(4 + 9/4)`

= `sqrt(25/4)`

= `5/2`

∴ DC of given line are `< 2/(5/2), (3/2)/(5/2), 0 >` or `< 4/5, 3/5, 0 >`