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Let O be the origin. If A(1, 0) and B(0,...

Let O be the origin. If A(1, 0) and B(0, 1) and P(x, y) are points such that `xy gt 0` and `x+y lt 1`, then

A

P lies either inside the triangle OAB or in the third quadrant

B

P cannot lie inside the triangle OAB

C

P lies inside the triangle OAB

D

P lies in the first quadrant only

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The correct Answer is:
A
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