Let O denote the origin. If M(1, 2),N(0, 1),a | vedclass

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(A) The condition $xy > 0$ implies that the point $A(x, y)$ must lie in either the first quadrant $(x > 0, y > 0)$ or the third quadrant $(x < 0, y <

Vedclass · Accepted Answer

$A$ cannot lie inside $	riangle OMN$

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(A) The condition $xy > 0$ implies that the point $A(x, y)$ must lie in either the first quadrant $(x > 0, y > 0)$ or the third quadrant $(x The condition $x + y In the first quadrant,the region satisfying $x > 0, y > 0$ and $x + y The triangle $	riangle OMN$ has vertices $O(0, 0)$,$M(1, 2)$,and $N(0, 1)$.By observing the region defined by $xy > 0$ and $x + y < 1$,it is clear that the point $A$ cannot lie inside $	riangle OMN$ because the interior of $	riangle OMN$ lies above the line $x + y = 1$ for most of its area,and the conditions given restrict $A$ to a region that does not overlap with the interior of $	riangle OMN$.

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.

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