Question

If the lines px + 2y = 1 and x + 3y = 5 are parallel, then the value of p is ______.

Options

• `- 2/3`

• `2/3`

• `3/2`

• `- 3/2`

Answer 1

If the lines px + 2y = 1 and x + 3y = 5 are parallel, then the value of p is `ulbb(2/3)`.

Explanation:

For two lines to be parallel, the ratio of their x and y Coefficients must be equal:

Using the values from the problem:

a₁ = p, b₁ = 2, a₂ = 1, b₂ = 3

`p/1 = 2/3`

∴ `p = 2/3`