JEE Main 2019 Mathematics question
If [x] denotes the greatest integer ≤ x, then the system of linear equations [sin θ]x + [−cos θ]y = 0, [cot θ]x + y = 0
Answer: (B)
Solution
On (π/2, 2π/3) the first equation is 0 = 0; on (π, 7π/6) it is −x = 0 with [cot θ] ≥ 1, so Δ ≠ 0.