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

Question

Philoid · Accepted Answer

We have,

3x + 2ky – 2 = 0

And, 2x + 5y + 1 = 0

Here, a₁ = 3, b₁ = 2k and c₁ = – 2

a₂ = 2, b₂ = 5 and c₂ = 1

∴

And,

We know that, for the system having parallel lines we must have:

Hence, option D is correct