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If [x] denotes the greatest integer le x...

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

A

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

B

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

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 ) uu (pi, (7pi)/3)`

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The correct Answer is:
A
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