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If [x] denotes the greatest integer lex,...

If `[x]` denotes the greatest integer `lex`, then the system of linear equations `[sin theta] x +[-cos theta] y = 0`
`[cot theta]x +y = 0`

A

Have infinitely many solutions if `theta in ((pi)/(2), (2pi)/(3))` and has a unique solutions if `theta in (pi, (7pi)/(6))`

B

Has a unique solution if `theta in (pi/2 , (2pi)/(3)) cup (pi, (7pi)/(6))`

C

Has a unique solution if `theta in (pi/2, (2pi)/(3))` and have infinitely many solutions if. `theta in (pi, (7pi)/(6))`

D

Have infinitely many solutions if `theta in (pi/2, (2pi)/(3)) cup (pi, (7pi)/(6))`

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The correct Answer is:
A
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