If [x] denotes the greatest integer \leq x, then the system of linear equations [\sin \\theta] x+[-\cos \\theta] y=0[\cot \\theta] x+y=0 [12 Apr 2019 Shift 2]

Correct Answer is : have infinitely many solutions if θ∈(π2,2π3) and has a unique solutions if θ∈(π,7π6)

have infinitely many solutions if \theta\in( \frac{\\pi}{2}, \frac{2 \\pi}{3} )\cup(\\pi, \frac{7 \\pi}{6} )

have infinitely many solutions if \theta\in( \frac{\\pi}{2}, \frac{2 \\pi}{3} ) and has a unique solutions if \theta\in(\\pi, \frac{7 \\pi}{6} )

has a unique solution if \theta\in( \frac{\\pi}{2}, \frac{2 \\pi}{3} )\cup(\\pi, \frac{7 \\pi}{6} )

has a unique solution if \theta\in( \frac{\\pi}{2}, \frac{2 \\pi}{3} ) and have infinitely many solutions if \theta\in(\\pi, \frac{7 \\pi}{6} )

JEE Main 12 Apr 2019 Paper 2 Solved Paper

Section: Mathematics

Question : 81 of 90

Marks: +1, -0

If [x] denotes the greatest integer ≤x, then the system of linear equations
[sin‌θ]x+[−cos‌θ]y=0[cot‌θ]x+y=0

[12 Apr 2019 Shift 2]

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