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` has

Options

A. have infinitely many solutions if
`theta in((pi)/(2),(2pi)/(3))` and has a unique solution if `theta in(pi,(7pi)/(6))`.
B. `theta in((pi)/(2),(2pi)/(3)) uu (pi,(7pi)/(6))`.
has a unique solution if `theta in((pi)/(2),(2pi)/(3))`
C. and have infinitely many solutions is
`theta in(pi,(7pi)/(6))`.
have infinitely many solutions if
D. `theta in((pi)/(2),(2pi)/(3)) uu(pi,(7pi)/(6))`.

Answer

A