Question

If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel then the value of k is ______.

Options

• `(-5)/4`

• `2/5`

• `3/2`

• `15/4`

Answer 1

If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel then the value of k is `underlinebb(15/4)`.

Explanation:

For parallel lines, we have `(a_1)/(a_2) = (b_1)/(b_2) ≠ (c_1)/(c_2)`.

∴ `3/2 = (2k)/5 ≠ (-2)/1`

⇒ `k = 15/4` and k ≠ –5

⇒ `k = 15/4`