SSC CGL 2024 PYQ — Question 62

SSC CGL - 10 Sep 2024 - Shift 3 • Quantitative Aptitude • Q62

For what value of k will the lines 2x + 7ky – 8 = 0 and x + y – 9 = 0 have no solution?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 272\over7.

2x + 7ky – 8 = 0

x + y – 9 = 0

For no solution a₁/a₂ = b₁/b₂ ≠ c₁/c₂

 a₁/a₂ = b₁/b₂

⇒ 2/1 = 7k/1

k = 2/7