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
(A) have infinitely many solutions if θ ∈ (π/2, 2π/3)
and has a unique solution if θ ∈ (π, 7π/6)
(B) have infinitely many solutions if θ ∈ (π/2, 2π/3) ∪ (π, 7π/6)
(C) has a unique solution if θ ∈ (π/2, 2π/3)
and have infinitely many solutions if θ ∈ (π, 7π/6)
(D) has a unique solution if θ ∈ (π/2, 2π/3) ∪ (π, 7π/6)

Answer 1

HEYA MATE YOUR ANSWER IS

Option C

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