2017 · Q20
The pair of linear equations kx + 3y + 1 = 0 and 2x + y + 3 = 0 intersect each other, if
Elementary MathematicsAlgebra
- Ak = 6
- Bk ≠ 6
- Ck = 0
- Dk ≠ 0
Explanation
The lines meet iff they are not parallel: slopes −k/3 and −2 differ iff k/3 ≠ 2, i.e. k ≠ 6: option B. At k = 6 the lines are parallel (and distinct), so they never intersect.