Let $O$ denote the origin. If $M(1, 2)$,$N(0, 1)$,and $A(x, y)$ are points such that $xy > 0$ and $x + y < 1$,then choose the correct statement.

  • A
    $A$ cannot lie inside $\triangle OMN$
  • B
    $A$ lies inside $\triangle OMN$
  • C
    $A$ lies only in the first quadrant
  • D
    None of the above

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