Question

For two lines 14x + 6y = 10 and 28x + 4ky = 24 to be parallel, what should be the value of k?

1. 1
2. 2
3. 4
4. 3
5. None of these

Answer 1

Correct Answer - Option 4 : 3

Given:

For two lines 7x + 3y = 5 and 14x + 2ky = 12 to be parallel

Concept used:

For two lines to be parallel, a₁/a₂ should be equal to b₁/b₂

Calculation:

For two lines to be parallel, a₁/a₂ should be equal to b₁/b₂

For the given set of lines, a₁ = 14, a₂ = 28, b₁ = 6, b₂ = 4k.

According to the question,

⇒ 14/28 = 6/4k

⇒ k = (3/2) × (28/14)

⇒ k = 3

∴ The value of k should be 3.