The pair of linear equations kx + 3y + 1 = 0 and 2x + y + 3 = 0

The pair of linear equations kx + 3y + 1 = 0 and 2x + y + 3 = 0 intersect each other, if

  1. k = 6
  2. k ≠ 6
  3. k = 0
  4. k ≠ 0

Answer

Condition for a pair to intersect each other and have a unique solution is

a1/a2 ≠ b1/b2

k/2 ≠ 3/1

k ≠ 6

The correct option is B.