Let \( O \) be the origin. If \( A(1,0) \) and \( B(0,1) \) and \( P(x, y) \) are points such th...
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0Let \( O \) be the origin. If \( A(1,0) \) and \( B(0,1) \) and \( P(x, y) \) are points such that \( x y0 \) and \( x+y1 \), then
(A) \( P \) lies either inside the triangle \( O A B \) or in the third quadrant
(B) \( P \) cannot lie inside the triangle \( O A B \)
(C) \( P \) lies inside the triangle \( O A B \)
(D) \( P \) lies in the first quadrant only
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