Question

If the fines given by `(x - 1)/(2lambda) = (y - 1)/(- 5) = (z - 1)/2` and `(x + 2)/lambda = (y + 3)/lambda = (z + 5)/1` are parallel, then the value of λ is ______.

Options

• `2/5`

• `- 5/2`

• `- 2/5`

• `5/2`

Answer 1

If the fines given by `(x - 1)/(2lambda) = (y - 1)/(- 5) = (z - 1)/2` and `(x + 2)/lambda = (y + 3)/lambda = (z + 5)/1` are parallel, then the value of λ is `underline(- 5/2)`.

Explanation:

Given, lines

`(x - 1)/(2lambda) = (y - 1)/(- 5) = (z - 1)/2`

and `(x + 2)/lambda = (y + 3)/lambda = (z + 5)/1` are parallel

`therefore (2lambda)/lambda = (- 5)/lambda = 2/1`

`=> 2 = (- 5)/lambda = 2 = lambda = - 5//2`