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###### Let $O$ be the origin and let $A(2,0), B(0,2)$ be two points. If $P(x, y)$ is a point such that $x y>0$ and $x+y<$ 2 , then(A) $P$ lies either inside the triangle $O A B$ or in the third quadrant(B) $P$ cannot be inside the triangle $O A B$(C) $P$ lies inside the triangle $O A B$(D) none of these

Let $O$ be the origin and let $A(2,0), B(0,2)$ be two points. If $P(x, y)$ is a point such that $x y>0$ and $x+y<$ 2 , then (A) $P$ lies either inside the triangle $O A B$ or in the third quadrant (B) $P$ cannot be inside the triangle $O A B$ (C) $P$ lies inside the triangle $O A B$ (D) none of these

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